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Factorize:$2a^2 + 2\sqrt{6}ab +3b^2$
Given :
$2a^2 + 2\sqrt{6}ab +3b^2$
To do :
We have to factorize the given expression.
Solution :
$2a^2 + 2\sqrt{6}ab +3b^2 = (\sqrt{2}a)^2+ 2\times \sqrt{2}a \times \sqrt{3}b+ (\sqrt{3}b)^2$
$= (\sqrt{2}a + \sqrt{3}b)^2$
Hence, $2a^2 + 2\sqrt{6}ab +3b^2 = (\sqrt{2}a + \sqrt{3}b)^2$.
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