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

1 Answer
Nov 13, 2017

Answer:

#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 :)