Question

Multiply:
$2 \sqrt{3 } - 5 \sqrt{2} \: and \: \sqrt{3} + 2 \sqrt{2}$
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Answer 1

Answer:

$- (14 + \sqrt{6)}$

Step-by-step explanation:

$(2 \sqrt{3} - 5 \sqrt{2)} ( \sqrt{3} + 2 \sqrt{2} )</p><p>$

$= 2 \sqrt{3} \times \sqrt{3} + 2 \sqrt{3} \times 2 \sqrt{2} - 5 \sqrt{2} \times \sqrt{3} - 5 \sqrt{2} \times 2 \sqrt{2}$

=

$2 \times 3 + 4 \sqrt{6} - 5 \sqrt{6} - 10 \times 2$

=

$4 \sqrt{6 } - 5 \sqrt{6} + 6 - 20$

$= - 14 - \sqrt{6}$

$= - (14 + \sqrt{6)}$

Answer 2

$(2 \sqrt{3} - 5 \sqrt{2} )( \sqrt{3} + 2 \sqrt{2} ) \\ \\ = > (6 + 4 \sqrt{6} - 5 \sqrt{6} - 20) \\ \\ = > 6 - 20 + 4 \sqrt{6} - 5 \sqrt{6} \\ \\ = > - 14 - \sqrt{6} \\ \\ = > - \sqrt{2} (7 \sqrt{2} + \sqrt{3} )$