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Square Root Calculator

LAST UPDATE: April 8th, 2018

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.

Square root number table

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