(√(5) √(2))(√(5)+√(2))= (√(5))^2 (√(2))^2 [∵ (a+b)(a b)=a^2 b^2 ] = 5 2 nbsp;= 3 ...

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Identities for Irrational Numbers

Simplify √5-√...

Question

Simplify $(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})$ .

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Solution

$(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})$ $= (\sqrt{5})^{2} - (\sqrt{2})^{2} [∵ (a + b) (a - b) = a^{2} - b^{2}]$
= 5-2 = 3

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