Question

simplify:
$3( \sqrt{2} - \sqrt{7} ) - 5( \sqrt{2} + \sqrt{7} )$
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Answer 1

$Given \: 3( \sqrt{2} - \sqrt{7} ) - 5( \sqrt{2} + \sqrt{7} )$

$= 3\sqrt{2} - 3\sqrt{7} - 5 \sqrt{2} -5 \sqrt{7}$

$= 3\sqrt{2} - 5\sqrt{2} - 5 \sqrt{7} -3 \sqrt{7}$

$= (3- 5)\sqrt{2} + (- 5 -3) \sqrt{7}$

$= -2\sqrt{2} -8 \sqrt{7}$

Therefore.,

$\red{ 3( \sqrt{2} - \sqrt{7} ) - 5( \sqrt{2} + \sqrt{7} )}$

$\green { = -2\sqrt{2} -8 \sqrt{7}}$

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