# Thread: FOIL of square root

1. ## FOIL of square root

The problem is:

(sqrt(x-5)-sqrt(5))/(x-10)x(sqrt(x-5)+sqrt5)/(sqrt(x-5)+sqrt5)

This link shows exactly what the equation looks like
&#40;sqrt&#40;x-5&#41;-sqrt&#40;5&#41;&#41;&#47;&#40;x-10&#41; &#40;sqrt&#40;x-5&#41;&#43;sqrt5&#41;&#47;&#40;sqrt&#40;x-5&#41;&#43;sqrt5 - Wolfram|Alpha)

The complete steps for FOIL on the numerator is what i'm stuck on. I know the numerator will be (x-5)-5 after the numerator is solved and thereon i know what to do.

thanks

2. The numerator is a difference of two squares: $\displaystyle \displaystyle (a - b)(a + b) = a^2 - b^2$.