√(2)(√(6)+√(18)) =√(2)(√(6)+√(18)) =√(2)√(6)+√(2)√(18) =√(12)+√(36) =√(4× 3)+√(6× 6) =2√(3)+6 ...

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Properties of Conjugate of a Complex Number

Solve: √2√6...

Question

Solve: $\sqrt{2} (\sqrt{6} + \sqrt{18})$

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Solution

$\sqrt{2} (\sqrt{6} + \sqrt{18})$
$= \sqrt{2} (\sqrt{6} + \sqrt{18})$
$= \sqrt{2} \sqrt{6} + \sqrt{2} \sqrt{18}$
$= \sqrt{12} + \sqrt{36}$
$= \sqrt{4 \times 3} + \sqrt{6 \times 6}$
$= 2 \sqrt{3} + 6$

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