How do you solve the square root of the square root of 32 without a calculator

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How do you solve the square root of the square root of 32 without a calculator

Mathematics
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this page may help http://www.homeschoolmath.net/teaching/square-root-algorithm.php let me know if it does or not
I just need to know how to get rid of the double radical
can you post the problem?

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Other answers:

Like how do I write that as a single radical expression
101 a and b
1 Attachment
which problem number?
101a ?
101 A and B
ok
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|dw:1439768026610:dw| making sense so far?
Sorry what
That's all I see
1 Attachment
oh, strange. Your browser isn't showing you the images I'm drawing
You agree that \[\LARGE \sqrt{32} = 32^{1/2}\] right?
Can you screen shot them?
Oh yes
so that means \[\LARGE \sqrt{\sqrt{32}} = \left(32^{1/2}\right)^{1/2}\]
Multiply the exponents and then convert back to radical form \[\LARGE \sqrt{\sqrt{32}} = 32^{1/2*1/2}\] \[\LARGE \sqrt{\sqrt{32}} = 32^{1/4}\] \[\LARGE \sqrt{\sqrt{32}} = \sqrt[4]{32}\]
Oh okay!!! Oh my gosh yeah
Optionally you can simplify this radical by doing this \[\LARGE \sqrt{\sqrt{32}} = \sqrt[4]{32}\] \[\LARGE \sqrt{\sqrt{32}} = \sqrt[4]{16*2}\] \[\LARGE \sqrt{\sqrt{32}} = \sqrt[4]{16}*\sqrt[4]{2}\] \[\LARGE \sqrt{\sqrt{32}} = 2*\sqrt[4]{2}\]
Oh my gosh!!! THANK YOU!!! God bless
no problem

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