Question

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

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$\sqrt{x+2}\cdot \sqrt{x-2}$

According to the property of radical expression

$\sqrt{a}\cdot \sqrt{b}=\sqrt{ab}$

Using this property,we get

$\sqrt{(x+2)(x-2)}$            

$\sqrt{x^2-2^2}$                 $[\because a^2-b^2=(a-b)(a+b)]$

$\sqrt{x^2-4}$

Therefore the correct option is B.