How do you simplify $""^5sqrt(96)$

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Answer 1 · 2014-10-25T16:22:16

$root 5 96$

$=> root 5 (2^5*3)$

$=> root 5 (2^5) * root 5 3$

$=> 2root 5 3$

Answer 2 · 2014-10-25T16:25:57

Since $96=2^5cdot3$ ,

$root[5]{96}=root[5]{2^5cdot3}$

by distributing the 5th-root,

$=root[5]{2^5}cdot root[5]{3}$

by cancelling out the 5th-power and the 5th-root,

$=2 root[5]{3}$ .

I hope that this was helpful.

How do you simplify ""^5sqrt(96) ""^5sqrt(96)