How do you simplify (sqrt5-sqrt3)(sqrt5+sqrt3)?

1 Answer
Nov 13, 2017

2

Explanation:

We know that
(a+b)(a-b)=a^2-b^2

As this question (sqrt5-sqrt3)(sqrt5+sqrt3) is in a form of (a+b)(a-b), we can simplify it into a^2-b^2 by subing sqrt5=a and sqrt3 =b as the folllowing:

(sqrt5-sqrt3)(sqrt5+sqrt3)

=(sqrt5)^2-(sqrt3)^2

=5-3=2
Here is the answer. Hope it can help you :)