Question

Select the correct answer.

Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?

A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b

Answer 1

Given:

The expression is

`13\sqrt {22b}-10√(22b), b>0`

To find:

The equivalent expression.

Solution:

We have,

`13\sqrt {22b}-10√(22b)`

Taking out common factors.

`=(13-10)\sqrt {22b}`

`=(3)\sqrt {22b}`

`=3\sqrt {22b}`

The expression
`3\sqrt {22b}` is equivalent to the given expression.

Therefore, the correct option is D.