Simplify :
$(\sqrt{3} - \sqrt{7}) (3 + \sqrt{5})$

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Solution

On simplification, we get

$(\sqrt{3} - \sqrt{7}) (3 + \sqrt{5})$

$⟹ 3 \sqrt{3} + \sqrt{15} - 3 \sqrt{7} - \sqrt{35}$

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Similar questions

(4 + \sqrt{7}) (3 + \sqrt{2})

(3 + \sqrt{3}) (5 - \sqrt{2})

(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})

Simplify the following expressions :

(i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

(ii) $(3 + \sqrt{3}) (5 - \sqrt{2})$

(iii) $(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})$

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