Question 624498
What is the simplest form of the quotient?
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^4sqrt400
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^4sqrt5
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If you mean 4th root,
{{{root(4,400)/root(4,5)}}}
= {{{root(4,80) = root(4,16)*root(4,5)}}}
= {{{2*root(4,5)}}}
Which is simpler?
{{{2*root(4,5)}}} or {{{root(4,80)}}} ?
"simpler" is not well defined.
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If there are other operations to be done, getting the number under the radical to its minimum might have advantages.
If you're going to use a calculator to get the number, there's no reason to continue past {{{root(4,80)}}}
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A.  5^4sqrt2

B.  2^4sqrt5

C.  2sqrt5

D.  ^4sqrt80