What is 5 square root 60 times 3 square root 56 in simplest radical form?

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Answer 1 · 2017-01-31T09:18:48

$10sqrt15 xx 6sqrt14$

Putting the question into math symbology:

$5sqrt60 xx 3sqrt56$

Let's first find perfect squares within the square roots:

$5sqrt(4xx15) xx 3sqrt(8xx7)$

$5sqrt(4xx15) xx 3sqrt(4xx14)$

$5sqrt4sqrt15 xx 3sqrt4sqrt14$

$5(2)sqrt15 xx 3(2)sqrt14$

$10sqrt15 xx 6sqrt14$

I don't see any opportunities to simplify further, so this is our answer.