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

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Answer 1 · 2014-10-25T16:33:03

You can treat it like Difference of Two Squares

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

$(\sqrt[2]{a} + \sqrt[2]{b}) (\sqrt[2]{a} - \sqrt[2]{b})$ $(root 2 a + root 2 b)(root 2 a - root 2 b)$

$\Rightarrow \sqrt[2]{a^{2}} - \sqrt[2]{b^{2}}$ $=> root 2 (a^2) - root 2 (b^2)$
$\Rightarrow a - b$ $=> a - b$

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