Square Root of 4.8
2026-02-28 09:57 Diff
https://brightchamps.com/en-us/math/algebra/square-root-of-4.8

The long division method is useful for finding square roots of non-perfect square numbers. Here is how to find the square root of 4.8 using this method, step by step:

Step 1: First, we need to group the numbers from right to left. Since 4.8 is a single-digit decimal, we consider 4.8 as 48 with a decimal point later.

Step 2: Find a number (n) whose square is less than or equal to 4. We choose n as 2 because 2^2 = 4.

Step 3: Subtract 4 from 4, resulting in 0. Bring down 80, making the new dividend 80.

Step 4: Double the current quotient (2) to get 4, which will be the start of the new divisor.

Step 5: Find a digit (x) such that 4x * x is less than or equal to 80. Choose x as 2, because 42 * 2 = 84 is too large.

Step 6: Use 41 * 1 = 41. Subtract 41 from 80, resulting in 39.

Step 7: Since 39 is smaller than 41, we add a decimal point and bring down two zeroes, making the new dividend 3900.

Step 8: Double the current quotient (21) to get 42, which will be the first part of the new divisor.

Step 9: Find a digit (y) such that 42y * y is less than or equal to 3900. Choose y as 9, because 429 * 9 = 3861 is less than 3900.

Step 10: Subtract 3861 from 3900, resulting in 39. The quotient is 2.19.

The approximate value of √4.8 is 2.19.