How do you simplify $(sqrt2 - sqrt3) (sqrt2 + sqrt3)$ ?

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Answer 1 · 2017-03-11T23:00:10

See the solution process below:

This is an example for the rule for:

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

Substitute $sqrt(2)$ for $a$ and $sqrt(3)$ for $b$ :

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

$2 - 3 = -1$

How do you simplify (sqrt2 - sqrt3) (sqrt2 + sqrt3)(sqrt2 - sqrt3) (sqrt2 + sqrt3)?