Question

Which choice is equivalent to the product below for acceptable values of x

Answer 1

The answer is ( B )

Answer 2

The correct option is B.

Explanation:

The given expression is

`√(x+2)\cdot √(x-2)`

According to the property of radical expression

`√(a)\cdot √(b)=√(ab)`

Using this property,we get

`√((x+2)(x-2))`

`√(x^2-2^2)`
`[\because a^2-b^2=(a-b)(a+b)]`

`√(x^2-4)`

Therefore the correct option is B.