How do you simplify a radical that contains a perfect square factor? ((I searched Google and didn't get any results for some reason))

Question

hartnn · Answer

like $\sqrt{x^5}$
u have your own examples ? specific questions ?

anonymous · Answer

No specific questions; just wondering how to simplify /any/ radical which contains a perfect square factor ^-^

hartnn · Answer

ok, x^5 has a perfect square, which is ... ?
can you find ?

anonymous · Answer

I honestly have no clue; I'm going to assume the perfect square is...0?... Yeah, I have no idea what I'm doing...

hartnn · Answer

OK, is x^4 a perfect square ? 
of whose ?

or do you want to do this with numbers ?
like $\sqrt{128}$

anonymous · Answer

128 doesn't have a perfect square, right? The closest I could find was 11.3137085

hartnn · Answer

128 is not a perfect square, but it has a perfect square in it
like 27 
27 = 3*3*3 = 9*3 
9 is a perfect square! of 3 

so, $\sqrt{27}=\sqrt{3^2 \times 3}=3\times \sqrt3$
got this ? ask doubts...

anonymous · Answer

Oh, I see now

hartnn · Answer

similarly, 
$\sqrt{128}= \sqrt{2*2*2*2*2*2*2}=\sqrt{8^2\times 2}=8\sqrt2$