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

1 Answer

Answer:

#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.