Question

how do you simplify the square root of 56x to the fifth

Answer 1

It comes out to something along the very neat lines of:
\[
6272\sqrt{14x^5}
\]Which... is not neat at all.

Answer 2

how did you do it though????

Answer 3

Here:
\[
\sqrt{56x}=\sqrt{4\cdot14x}=2\sqrt{14x}
\]We raise it to the fifth power, to find:
\[
\left(2\sqrt{14x}\right)^5=2^5\left((14x)^\frac{1}{2}\right)^5=2^5(14x)^\frac{5}{2}=\\
2^5(14x)^2(14x)^\frac{1}{2}=2^514^2x^2\sqrt{14x}=6272x^2\sqrt{14x}=\\
6272\sqrt{14x^5}
\]That's the most elaborate approach, you should just try to find stuff, it's fairly easy to get, just requires practice.

Answer 4

ok thanks

Answer 5

i still need help though to whoever can!!