Question

Simplify the expression shown. You must show your work to receive credit.

√2·√72·√5

Please show all of your steps.

Answer 1

`12 √(5)`

Step-by-step explanation

The given expression is

`√(2) * √(72) * √(5)`

The middle radical contains a perfect square.

`√(2) * √(36 * 2) * √(5)`

`√(2) * √(36) * √(2) * √(5)`

`6√(2) * √(2) * √(5)`

Note that:

`√(a) * √(a) = a`

`6* 2 √(5) = 12 √(5)`