Question

square root 8a^8 ....how do I do this by hand??

Answer 1

The answer is \[2\sqrt{2a ^{4}}\]

Answer 2

like this?
\[\sqrt{8a^8}\]

Answer 3

but I need to know how to do the steps...Yes Joemath like that!! :)

Answer 4

to be able to pull things out of a square root, you need them to be squares. For example:
\[\sqrt{36} = \sqrt{6^2} = 6\]
or
\[\sqrt{50} = \sqrt{25*2} = \sqrt{5^2*2} = 5\sqrt{2}\]
So lets see what squares we can find in your problem:
\[\sqrt{8a^8} = \sqrt{4*2(a^4)^2} =\sqrt{(2^2)*2*(a^4)^2}\]
the squares we can pull out are a 2, and a^4, so we pull them out, and leave everything else behind:
\[\sqrt{2^2*2*(a^4)^2} = 2a^4\sqrt{2}\]
that would be the final answer.

Answer 5

Thank you, that made sense :)!!