Question

How would I simplify the square root of (x+5)^16?

Answer 1

the answer is (x+5)⁸
here's the proof

recall that

`√(x) =x^ (1)/(2)` and

`(x^m)^n=x^(mn)`

therefore

`\sqrt{(x+5)^(16)} =((x+5)^(16))^ (1)/(2)=(x+5)^{(16)( (1)/(2))}=(x+5)^8`

the simplified form is (x+5)⁸

Answer 2

This question cannot be further simplified.