How do I solve x^6 when its under a square root and then under a cubed root?
3√(√x^6)

Question

How do I solve x^6 when its under a square root and then under a cubed  root? 
3√(√x^6)

igreen · Answer

$\sqrt[3]{\sqrt{x^6}}$

Like this?

igreen · Answer

Remember.

x^6 = x * x * x * x * x * x

Square root will divide the exponent by 2.

6 / 2 = ?

anonymous · Answer

Yeah

anonymous · Answer

I just don't understand what I'm supposed to do because of the cubed root on the outside

anonymous · Answer

Would the answer just be x then?

rational · Answer

you should get |x| i think

rational · Answer

answer is just x if we assume x is positive

rational · Answer

otherwise it is |x|

anonymous · Answer

Thank you :)

igreen · Answer

Yep.

Cube root would divide it by 3.

$x^6$

Square root:

$x^{6 \div 2} \rightarrow x^3$

Cube root:

$x^{3 \div 3} \rightarrow x$

igreen · Answer

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