Question

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

sqrt(x+2)*sqrt(x-2)

Answer 1

√x^2-4

its also in this imagine below

Answer 2

√x^2-4

Explanation:

Given the expression

√(x+2) * √(x-2)

= √(x+2)(x-2)

Expand

= √x(x)-2x+2x-2(2)

= √x^2-4

Hence the product of the expression will give √x^2-4

For x to be acceptable x^2 - 4 = 0

x^2 = 4

x = ±√4

x = ±2

Acceptable value of x are values that are greater than or equal to ±2