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Mathematics

Simplify the following expression:
$(\sqrt{5}$ - $\sqrt{2})$ $(\sqrt{5}$ + $\sqrt{2})$

Number System

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Answer

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

= a² - b²

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

= 5 - 2

= 3

Hence, $(\sqrt{5}$ - $\sqrt{2})$ $(\sqrt{5}$ + $\sqrt{2})$ = 3

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