Question

Which of the following is equivalent to the product below? thank you for helping!​

Answer 1

C

Explanation:

First, multiply all the square roots.

So, sqrt(9) x sqrt(5) x sqrt(2) = sqrt(9x5x2) =sqrt(90)

Think of two numbers that multiply to 90. One possible pair is 9x10.

So, sqrt(90) = sqrt(9x10)

Using the properties of surds,

Sqrt(9x10) = sqrt(9) x sqrt (10)

We know that sqrt(9) = 3

So, sqrt(90) = 3 x sqrt(10)

Hope this helps

Answer 2

C

Explanation:

√9 = 3

3 • √5 • √2 = 3√10

Alternatively, √9 • √5 • √2 = √90 = 3√10