Question

Which expression is equivalent to sqrt 120x?

a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x

Answer 1

A

Step-by-step explanation: on Edge

Answer 2

a.
`2√(30x)`

Explanation:

We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.

`√(120x)`

Let us pull out perfect square from our radical expression.

We can rewrite our given expression as:

`√(4*30x)`

Since square root of 4 is 2, so we can pull out 2 from our radical expression.

`2√(30x)`

Therefore, the expression
`2√(30x)` is equivalent to our given expression and option a is the correct choice.