How do you simplify (sqrt5-sqrt3)(sqrt5+sqrt3)(√5−√3)(√5+√3)?

1 Answer
Yiu A.
Nov 13, 2017

22

Explanation:

We know that
(a+b)(a-b)=a^2-b^2(a+b)(a−b)=a2−b2

As this question (sqrt5-sqrt3)(sqrt5+sqrt3)(√5−√3)(√5+√3) is in a form of (a+b)(a-b)(a+b)(a−b), we can simplify it into a^2-b^2a2−b2 by subing sqrt5=a and sqrt3 =b√5=aand√3=b as the folllowing:

(sqrt5-sqrt3)(sqrt5+sqrt3)(√5−√3)(√5+√3)

=(sqrt5)^2-(sqrt3)^2=(√5)2−(√3)2

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

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