Simplify : (3 + 2 )( 4 + 7) - Vidyadip

Question

Simplify $: (3 + \sqrt2 )( 4 + \sqrt7)$

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Answer

$( 3 + \sqrt2 )( 4 + \sqrt7 )$
$= 3 \times 4 + 3 \times \sqrt7 + 4 \times \sqrt2 + \sqrt2 \times \sqrt7$
$= 12 + 3\sqrt7 + 4\sqrt2 + \sqrt14$

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