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Identities for Irrational Numbers

iv Simplify √...

Question

Question 2 (iv)
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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Identities for Irrational Numbers

Standard IX Mathematics

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