Question

Find the square root of the following number.

1296

Answer 1

2	1296
2	648
2	324
2	162
3	81
3	27
3	9
3	3
	1

1296 = 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3

`sqrt1296 = sqrt(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3)`

`sqrt1296 = sqrt(2^2 × 2^2 × 3^2 × 3^2)`

`sqrt1296 = 2 × 2 × 3 × 3`

`sqrt1296 = 36`

∴ The square root of 1296 is 36.