How do you find the square root of a square root?

Answer 1

The laws of exponents help you out here. We can write square root of a number n, as n^1/2 power. Now we know that raising and exponent to a powers is done according to the rule (a^b)^c=a^bc. That is two say we multiply the exponents

So doing that with 1/2 each time we find that the square root of the square root of n is n^1/4 which is the 4th root of n

Looks look at an example. let n=16 The square root is 4 and the square root of that is 2 So this means the 4th root of 16 must be 2, but 2x2x2x2=16 so it is! Using this, one can you 1/4 as the exponent on a calculator and find square roots of square roots.

or you could just find the square root of the first number then find the square root of that... real simple.