The best method for calculating the square root is to break the number into its prime factors. For example:

**64 root**. We break down 64 its prime factors:

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1

So 64 equals **2 ^{6}**.

We divide the exponent 6 by the square root exponent (which is 2), and remove the root number.

6 divided by 2 equals 3 so the answer is **2 ^{3}**, that is,

**8**. Summing up:

So root of 64 is equal to 8. Learn more about prime factor decomposition.