How do you simplify $3sqrt2(2sqrt8-sqrt3)$ ?

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Answer 1 · 2017-05-30T18:18:40

$-sqrt(6)$

$3sqrt(2)(2sqrt(8)-sqrt(3))$

Use the distributive property

$6sqrt(16)-3sqrt(6)$

$(6)(4)-3sqrt(6)$

$24-3sqrt(6)$

$sqrt(4)sqrt(6)-3sqrt(6)$

$2sqrt(6)-3sqrt(6)$

$-sqrt(6)$

How do you simplify 3sqrt2(2sqrt8-sqrt3)3sqrt2(2sqrt8-sqrt3)?