# Square Root Calculator

## What is a square root?

The square root of a number is the number that would have to be multiplied by itself to get the original number.
For example, the square root of 9 is 3 as 3 multiplied by 3 is 9.
The square root of 558,009 is 747, as 747 multiplied by 747 is 558,009.<
The square root of 8 is 2.8284271247461900976033774484194 as 2.8284271247461900976033774484194 multiplied by 2.8284271247461900976033774484194 is 8.

## How to calculate the square root

Even for perfect square numbers, square root can be difficult to calculate by hand.
The most basic techniques involve trial and error.
Example:
Find the square root of 64
1) Try a number – 5 : 5 times 5 = 25 (too low)
2) Try another number that is more than 5 – 6 : 6 times 6 = 36 (too low)
3) Try a number that is more than 6 – 10 – 10 times 10 = 100 (too high)
4) Try a number in between 6 and 10 – 8 – 8 times 8 = 64 (answer)

## What is square root used for?

From a practical standpoint, in geometry square root can be used to find the length of a side of a square when the area is known.