Question

simplify. (√3+2√6)×(√6-2√3) answer fast please​

Answer 1

Answer:  $Expert .Verified$

$=6-9\sqrt{2}$

Step-by-step explanation:

$\left(\sqrt{3}+2\sqrt{6}\right)\left(\sqrt{6}-2\sqrt{3}\right)$

$=\sqrt{3}\sqrt{6}+\sqrt{3}\left(-2\sqrt{3}\right)+2\sqrt{6}\sqrt{6}+2\sqrt{6}\left(-2\sqrt{3}\right)$

$=\sqrt{3}\sqrt{6}-2\sqrt{3}\sqrt{3}+2\sqrt{6}\sqrt{6}-2\times \:2\sqrt{6}\sqrt{3}$

$=6-9\sqrt{2}$

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