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2026-01-01
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2026-02-28
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<p>328 Learners</p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>Last updated on<strong>August 5, 2025</strong></p>
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<p>In math, the cube root of 48 is expressed as ∛48 in radical form, where the “ ∛ ” sign” is called the “radical” sign. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, creating digital art, field of engineering, making financial decisions etc.</p>
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<p>In math, the cube root of 48 is expressed as ∛48 in radical form, where the “ ∛ ” sign” is called the “radical” sign. Do you know? Cube roots apply to our real life also, like that for measuring dimensions, creating digital art, field of engineering, making financial decisions etc.</p>
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<h2>What Is the Cube Root of 48?</h2>
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<h2>What Is the Cube Root of 48?</h2>
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<p>The<a>cube</a>root<a>of</a>48 is the value which, when multiplied by itself three times (cubed), gives the original<a>number</a>48. The cube root of 48 is 3.63424118566. In<a>exponential form</a>, it is written as (48)⅓. If “m” is the cube root of 48, then, m3=48. Let us find the value of “m”. </p>
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<p>The<a>cube</a>root<a>of</a>48 is the value which, when multiplied by itself three times (cubed), gives the original<a>number</a>48. The cube root of 48 is 3.63424118566. In<a>exponential form</a>, it is written as (48)⅓. If “m” is the cube root of 48, then, m3=48. Let us find the value of “m”. </p>
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<h2>Finding the Cubic Root of 48</h2>
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<h2>Finding the Cubic Root of 48</h2>
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<p>We can find<a>cube root</a>of 48 through a method, named as, Halley’s Method. Let us see how it finds the result. </p>
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<p>We can find<a>cube root</a>of 48 through a method, named as, Halley’s Method. Let us see how it finds the result. </p>
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<h3>Cubic Root of 48 By Halley’s Method</h3>
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<h3>Cubic Root of 48 By Halley’s Method</h3>
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<p>Now, what is Halley’s Method?</p>
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<p>Now, what is Halley’s Method?</p>
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<p>It is an iterative method for finding cube roots of a given number N, such that, x3=N, where this method approximates the value of “x”.</p>
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<p>It is an iterative method for finding cube roots of a given number N, such that, x3=N, where this method approximates the value of “x”.</p>
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<p>Formula is ∛a≅ x((x3+2a) / (2x3+a)), where</p>
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<p>Formula is ∛a≅ x((x3+2a) / (2x3+a)), where</p>
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<p>a=given number whose cube root you are going to find</p>
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<p>a=given number whose cube root you are going to find</p>
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<p>x=<a>integer</a>guess for the cubic root</p>
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<p>x=<a>integer</a>guess for the cubic root</p>
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<p>Let us apply Halley’s method on the given number 48.</p>
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<p>Let us apply Halley’s method on the given number 48.</p>
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<p>Step 1: Let a=48. Let us take x as 3, since, 33=27 is the nearest<a>perfect cube</a>which is<a>less than</a>48.</p>
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<p>Step 1: Let a=48. Let us take x as 3, since, 33=27 is the nearest<a>perfect cube</a>which is<a>less than</a>48.</p>
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<p>Step 2: Apply the<a>formula</a>. ∛48≅ 3((33+2×48) / (2(3)3+48))= 3.62…</p>
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<p>Step 2: Apply the<a>formula</a>. ∛48≅ 3((33+2×48) / (2(3)3+48))= 3.62…</p>
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<p>Hence, 3.62… is the approximate cubic root of 48 </p>
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<p>Hence, 3.62… is the approximate cubic root of 48 </p>
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<h3>Explore Our Programs</h3>
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<h2>Common Mistakes and How to Avoid Them in the Cube Root of 48</h2>
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<h2>Common Mistakes and How to Avoid Them in the Cube Root of 48</h2>
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<p>Understanding common misconceptions or mistakes can make your calculations error free. So let us see how to avoid those from happening. </p>
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<p>Understanding common misconceptions or mistakes can make your calculations error free. So let us see how to avoid those from happening. </p>
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<h2>Download Worksheets</h2>
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<h3>Problem 1</h3>
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<h3>Problem 1</h3>
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<p>Find ((∛96/ ∛48) × (∛96/ ∛48) × (∛96/ ∛48))</p>
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<p>Find ((∛96/ ∛48) × (∛96/ ∛48) × (∛96/ ∛48))</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> (∛96/ ∛48) × (∛96/ ∛48) × (∛96/ ∛48)</p>
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<p> (∛96/ ∛48) × (∛96/ ∛48) × (∛96/ ∛48)</p>
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<p>= (∛96× ∛96× ∛96) / (∛48× ∛48× ∛48)</p>
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<p>= (∛96× ∛96× ∛96) / (∛48× ∛48× ∛48)</p>
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<p>=((96)⅓)3/ ((48)⅓)3</p>
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<p>=((96)⅓)3/ ((48)⅓)3</p>
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<p>=96/48</p>
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<p>=96/48</p>
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<p>=2</p>
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<p>=2</p>
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<p>Answer: 2 </p>
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<p>Answer: 2 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> We solved and simplified the exponent part first using the fact that, ∛96=(96)⅓ and ∛48=(48)⅓ , then solved. </p>
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<p> We solved and simplified the exponent part first using the fact that, ∛96=(96)⅓ and ∛48=(48)⅓ , then solved. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 2</h3>
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<h3>Problem 2</h3>
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<p>If y = ∛48, find y³/ y⁶</p>
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<p>If y = ∛48, find y³/ y⁶</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> y=∛48</p>
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<p> y=∛48</p>
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<p>⇒ y3/y6</p>
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<p>⇒ y3/y6</p>
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<p>= (∛48)3 / (∛48)6</p>
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<p>= (∛48)3 / (∛48)6</p>
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<p>⇒ y3/y6= 48/ (49)2= 1/48</p>
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<p>⇒ y3/y6= 48/ (49)2= 1/48</p>
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<p>Answer: 1/48 </p>
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<p>Answer: 1/48 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p> (∛48)3=(481/3)3=48, and ∛(48)6=(481/3)6=(48)2. Using this, we found the value of y3/y6. </p>
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<p> (∛48)3=(481/3)3=48, and ∛(48)6=(481/3)6=(48)2. Using this, we found the value of y3/y6. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 3</h3>
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<h3>Problem 3</h3>
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<p>Multiply ∛48 × ∛64 × ∛125</p>
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<p>Multiply ∛48 × ∛64 × ∛125</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>∛48 × ∛64 × ∛125</p>
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<p>∛48 × ∛64 × ∛125</p>
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<p>= 3.634 × 4 ×5</p>
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<p>= 3.634 × 4 ×5</p>
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<p>= 72.68</p>
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<p>= 72.68</p>
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<p>Answer: 72.68 </p>
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<p>Answer: 72.68 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We know that the cubic root of 64 is 4 and the cubic root of 125 is 5, hence multiplying ∛125, ∛64 and ∛48. </p>
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<p>We know that the cubic root of 64 is 4 and the cubic root of 125 is 5, hence multiplying ∛125, ∛64 and ∛48. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 4</h3>
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<h3>Problem 4</h3>
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<p>What is ∛(100)⁶+ ∛(48)⁶ ?</p>
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<p>What is ∛(100)⁶+ ∛(48)⁶ ?</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p> ∛(1006)+ ∛(48)6 </p>
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<p> ∛(1006)+ ∛(48)6 </p>
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<p>= ((100)6))1/3 +((48)6)1/3</p>
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<p>= ((100)6))1/3 +((48)6)1/3</p>
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<p>=(100)2 + (48)2</p>
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<p>=(100)2 + (48)2</p>
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<p>= 10000 + 2304</p>
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<p>= 10000 + 2304</p>
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<p>Answer: 12304 </p>
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<p>Answer: 12304 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>We solved and simplified the exponent part first using the fact that, ∛100=(100)⅓ and ∛48=(48)⅓ , then solved. </p>
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<p>We solved and simplified the exponent part first using the fact that, ∛100=(100)⅓ and ∛48=(48)⅓ , then solved. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h3>Problem 5</h3>
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<h3>Problem 5</h3>
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<p>Find ∛(48+(-8)+(-13)).</p>
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<p>Find ∛(48+(-8)+(-13)).</p>
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<p>Okay, lets begin</p>
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<p>Okay, lets begin</p>
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<p>∛(48-8-13)</p>
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<p>∛(48-8-13)</p>
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<p>= ∛27</p>
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<p>= ∛27</p>
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<p>=3 Answer: 3 </p>
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<p>=3 Answer: 3 </p>
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<h3>Explanation</h3>
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<h3>Explanation</h3>
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<p>Simplified the expression, and found out the cubic root of the result. </p>
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<p>Simplified the expression, and found out the cubic root of the result. </p>
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<p>Well explained 👍</p>
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<p>Well explained 👍</p>
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<h2>FAQs on 48 Cube Root</h2>
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<h2>FAQs on 48 Cube Root</h2>
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<h3>1.How to solve √48 ?</h3>
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<h3>1.How to solve √48 ?</h3>
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<p>48 = 2× 2× 2× 2× 3</p>
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<p>48 = 2× 2× 2× 2× 3</p>
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<p>√48 = √(2× 2× 2× 2× 3)</p>
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<p>√48 = √(2× 2× 2× 2× 3)</p>
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<p>=4√3 </p>
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<p>=4√3 </p>
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<h3>2.Is 48 a perfect square ?</h3>
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<h3>2.Is 48 a perfect square ?</h3>
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<h3>3.How to solve 3√4913 ?</h3>
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<h3>3.How to solve 3√4913 ?</h3>
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<p> 3√4913</p>
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<p> 3√4913</p>
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<p>= 3 × √(17×17×17)</p>
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<p>= 3 × √(17×17×17)</p>
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<p>= 3× 17</p>
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<p>= 3× 17</p>
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<p>= 51. </p>
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<p>= 51. </p>
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<h3>4.What is the square root of 48 in the simplest form?</h3>
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<h3>4.What is the square root of 48 in the simplest form?</h3>
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<h3>5.How do I calculate √47?</h3>
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<h3>5.How do I calculate √47?</h3>
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<p>√47 can be calculated through methods like Long Division, Approximation etc. The value of √47 is 6.855… </p>
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<p>√47 can be calculated through methods like Long Division, Approximation etc. The value of √47 is 6.855… </p>
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<h2>Important Glossaries for Cube Root of 48</h2>
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<h2>Important Glossaries for Cube Root of 48</h2>
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<ul><li><strong>Irrational Numbers -</strong>All numbers cannot be expressed as p/q, where p and q are integers and q not equal to 0. Those numbers are called Irrational numbers.</li>
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<ul><li><strong>Irrational Numbers -</strong>All numbers cannot be expressed as p/q, where p and q are integers and q not equal to 0. Those numbers are called Irrational numbers.</li>
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</ul><ul><li><strong>Whole numbers -</strong>The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity. </li>
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</ul><ul><li><strong>Whole numbers -</strong>The whole numbers are part of the number system, which includes all the positive integers from 0 to infinity. </li>
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</ul><ul><li><strong>Square root -</strong>The square root of a number is a number which when multiplied by itself produces the original number, whose square root is to be taken out.</li>
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</ul><ul><li><strong>Square root -</strong>The square root of a number is a number which when multiplied by itself produces the original number, whose square root is to be taken out.</li>
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</ul><ul><li><strong>Polynomial -</strong>It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.</li>
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</ul><ul><li><strong>Polynomial -</strong>It is an algebraic expression made up of variables like “x” and constants, combined using addition, subtraction, multiplication, or division, where the variables are raised to whole number exponents.</li>
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</ul><ul><li><strong>Approximation -</strong>Finding out a value which is nearly correct, but not perfectly correct.</li>
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</ul><ul><li><strong>Approximation -</strong>Finding out a value which is nearly correct, but not perfectly correct.</li>
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</ul><ul><li><strong>Iterative method -</strong>This method is a mathematical process which uses an initial value to generate further and step-by-step sequence of solutions for a problem.</li>
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</ul><ul><li><strong>Iterative method -</strong>This method is a mathematical process which uses an initial value to generate further and step-by-step sequence of solutions for a problem.</li>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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</ul><p>What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math</p>
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<p>▶</p>
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<p>▶</p>
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<h2>Jaskaran Singh Saluja</h2>
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<h2>Jaskaran Singh Saluja</h2>
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<h3>About the Author</h3>
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<h3>About the Author</h3>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<p>Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.</p>
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<h3>Fun Fact</h3>
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<h3>Fun Fact</h3>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>
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<p>: He loves to play the quiz with kids through algebra to make kids love it.</p>