Question

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

Answer 1

`10sqrt15 xx 6sqrt14`

Explanation:

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.