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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