Square Root of 80/5
2026-02-28 12:06 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-80-by-5

129 Learners

Last updated on December 15, 2025

If a number is multiplied by itself, the result is a square. The inverse of a square is a square root. Square roots are used in fields like vehicle design, finance, etc. Here, we will discuss the square root of 80/5.

What is the Square Root of 80/5?

The square root is the inverse of the square of a number. 80/5 simplifies to 16, which is a perfect square.

The square root of 80/5 is expressed in both radical and exponential form.

In radical form, it is expressed as √16, whereas (16)(1/2) in exponential form.

√16 = 4, which is a rational number because it can be expressed in the form of p/q, where p and q are integers and q ≠ 0.

Finding the Square Root of 80/5

The prime factorization method is used for perfect square numbers.

Since 16 is a perfect square, we can easily find its square root using the prime factorization method.

  • Prime factorization method
     
  • Long division method
     
  • Approximation method

Square Root of 80/5 by Prime Factorization Method

The prime factorization of a number is the product of its prime factors.

Now, let us look at how 16 is broken down into its prime factors.

Step 1: Finding the prime factors of 16

Breaking it down, we get 2 x 2 x 2 x 2: 24

Step 2: Now that we have found the prime factors of 16, we can pair these factors. Since 16 is a perfect square, the pairs of prime factors can be grouped together.

Step 3: Take one factor from each pair: 2 x 2 = 4 Therefore, the square root of 16 is 4.

Explore Our Programs

Square Root of 80/5 by Long Division Method

The long division method is often used for non-perfect square numbers, but it can also be applied to perfect squares.

Let us learn how to find the square root using the long division method, step by step.

Step 1: Group the digits from right to left. In the case of 16, there is only one group: 16.

Step 2: Find a number whose square is less than or equal to 16. This number is 4 because 4 x 4 = 16.

Step 3: Subtract 16 from 16; the remainder is 0. Since there are no more groups to bring down, we are done. The quotient is 4, so the square root of 16 is 4.

Square Root of 80/5 by Approximation Method

The approximation method can be used to find square roots, though it is not necessary for perfect squares.

Let's see how this would work for 16.

Step 1: Identify the closest perfect squares to 16, which are 9 and 25.

Step 2: Since 16 is itself a perfect square, no further approximation is needed. The square root of 16 is precisely 4.

Common Mistakes and How to Avoid Them in the Square Root of 80/5

Students can make mistakes while finding the square root, such as forgetting about negative square roots or misapplying methods.

Let's explore some mistakes students make and how to avoid them.

Problem 1

Can you help Max find the area of a square box if its side length is given as √64/4?

Okay, lets begin

The area of the square is 16 square units.

Explanation

The area of a square = side2.
 

The side length is given as √64/4.

Area = (√64/4)2 = (8/4)2 = 22 = 4

Therefore, the area of the square box is 4 square units.

Well explained 👍

Problem 2

A square-shaped building measuring 80 square feet is built; if each of the sides is √80/5, what will be the square feet of half of the building?

Okay, lets begin

40 square feet

Explanation

We can divide the given area by 2 since the building is square-shaped.

Dividing 80 by 2, we get 40.

So half of the building measures 40 square feet.

Well explained 👍

Problem 3

Calculate √80/5 x 5.

Okay, lets begin

20

Explanation

First, find the square root of 80/5, which simplifies to √16 = 4.

Multiply 4 by 5.

So 4 x 5 = 20.

Well explained 👍

Problem 4

What will be the square root of (80/5 + 9)?

Okay, lets begin

The square root is 5.

Explanation

To find the square root, we first find the sum of (80/5 + 9). 80/5 = 16, and 16 + 9 = 25. √25 = 5.

Therefore, the square root of (80/5 + 9) is 5.

Well explained 👍

Problem 5

Find the perimeter of a rectangle if its length 'l' is √80/5 units and the width 'w' is 10 units.

Okay, lets begin

The perimeter of the rectangle is 28 units.

Explanation

Perimeter of a rectangle = 2 × (length + width).

Perimeter = 2 × (√80/5 + 10) = 2 × (4 + 10) = 2 × 14 = 28 units.

Well explained 👍

FAQ on Square Root of 80/5

1.What is √80/5 in its simplest form?

80/5 simplifies to 16, and the simplest form of √16 is 4.

2.Mention the factors of 16.

Factors of 16 are 1, 2, 4, 8, and 16.

3.Calculate the square of 16.

We get the square of 16 by multiplying the number by itself: 16 x 16 = 256.

4.Is 16 a prime number?

5.16 is divisible by?

16 is divisible by 1, 2, 4, 8, and 16.

Important Glossaries for the Square Root of 80/5

  • Square root: A square root is the inverse of a square. Example: 42 = 16 and the inverse of the square is the square root, that is, √16 = 4.
  • Rational number: A rational number can be expressed in the form of p/q, where p and q are integers and q ≠ 0.
  • Perfect square: A perfect square is a number that is the square of an integer. For example, 16 is a perfect square because it is 4^2.
  • Prime factorization: Prime factorization is the process of writing a number as the product of its prime factors. For example, 16 = 2 x 2 x 2 x 2.
  • Long division method: A method used to find the square root of a number by dividing and averaging. It is particularly useful for non-perfect squares but can be used for perfect squares as well.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

Jaskaran Singh Saluja

About the Author

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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.