Square Root Calculator

Calculating Square Root

A number produces a particular number when multiplied by itself.
Example:
7 × 7 = 49
We say 7 is a square root of 49.

The easiest way to calculate a square root is by using a calculator.

Formula to Calculate the Square Root of a Random Number

There is a formula to express the square root of a number:

√y = y^(1/2)

If a random number has an exponent of 2, then a square root is needed to be found for that number.

Finding Square Roots Without a Calculator

In the past, there was no calculator. Teachers and students had to find the square root by themselves — it was their only option.

There are multiple methods to find the square root of a number by hand.

Method 1: Prime Factorization

In this method, numbers must be divided into perfect square factors.
A number factor is any set of numbers that multiply to make a number.

Example:
√36 = √(4 × 9) = √4 × √9 = 2 × 3 = 6

Another Method

Reduce the numbers into smaller terms if they do not factor properly.
Estimate the value if it is obligatory.

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