Question

What is the square root of 7744?

Answer 1

`sqrt(7744) = 88`

Explanation:

Find prime factors of `7744`:

`7744 = 2 * 3872 = 2^2 * 1936 = 2^3 * 968 = 2^4 * 484`

`= 2^5 * 242 = 2^6 * 121 = 2^6 * 11 * 11`

`= (2^3 * 11) * (2^3 * 11) = (2^3 * 11)^2 = 88^2`

So `sqrt(7744) = 88`