How do you simplify $(2+ sqrt3)(2- sqrt3)$ ?

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Answer 1 · 2015-11-01T15:00:14

$(2+sqrt(3))(2-sqrt(3)) = 1$

The difference of squares identity can be written:

$a^2-b^2 = (a+b)(a-b)$

Putting $a=2$ and $b=sqrt(3)$ we find:

$(2+sqrt(3))(2-sqrt(3)) = 2^2-(sqrt(3))^2 = 4 - 3 = 1$

How do you simplify (2+ sqrt3)(2- sqrt3) (2+ sqrt3)(2- sqrt3) ?