How do you multiply $3sqrt2(sqrt8+5sqrt12)$ ?

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Answer 1 · 2015-06-13T11:54:36

$color(blue)( 12 + 30sqrt6$

$3sqrt2(sqrt8+5sqrt12)$

Multiplying $3sqrt2$ with each term within the bracket.

$= color(red)((3sqrt2 . sqrt8)) + color(blue)((3sqrt2 . 5sqrt12)$

$= color(red)(3.sqrt16) +color(blue)(15.sqrt24)$

$= color(red)(3.4) + color(blue)(15.2sqrt6$

$= color(blue)( 12 + 30sqrt6$

How do you multiply 3sqrt2(sqrt8+5sqrt12)3sqrt2(sqrt8+5sqrt12)?