How do you multiply $(sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))$ ?

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Answer 1 · 2014-10-25T16:33:03

You can treat it like Difference of Two Squares

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

$(root 2 a + root 2 b)(root 2 a - root 2 b)$

$=> root 2 (a^2) - root 2 (b^2)$
$=> a - b$

How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))?