√(p^2 q^2) = √(( p q ) ( p + q )) ( ∵a^2 b^2 = ( a b ) ( a + b ) ) = √(p q)√(p + q) ...

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Quadratic Formula

Solve √p2-q2...

Question

Solve
$\sqrt{p^{2} - q^{2}} = ?$

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Solution

$\sqrt{p^{2} - q^{2}} = \sqrt{(p - q) (p + q)} (∵ a^{2} - b^{2} = (a - b) (a + b)) = \sqrt{p - q} \sqrt{p + q}$

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