Question

How to simplify this expression :
sqrt(x^2-4)*sqrt(x^2+4)
?

Answer 1

=sqrt(x^4 -16)

Answer 2

\[ \sqrt{x-2} \times \sqrt{x+2} \times \sqrt{x+2} \times \sqrt{2}\]\[\sqrt{x-2} \times (\sqrt{x+2})^2 \times \sqrt{2}\]\[x+2 \times \sqrt{(x-2)2}~~~~~~~->~~~~~~x+2 \times \sqrt{x^2-4}\]

Answer 3

I took out of the square root as much as I can.

xiem2xoay just factored it.

Answer 4

@fbi2015 No, you took out more than you could. Please reconsider.

Answer 5

\[\sqrt{x^2-4} \times \sqrt{x^2+4}=\sqrt{x^2-16}~~~~~~I~~~see~~~why.\]