How do you multiply $3 \sqrt{2} (\sqrt{8} + 5 \sqrt{12})$ $3sqrt2(sqrt8+5sqrt12)$ ?

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Answer 1 · 2015-06-13T11:54:36

$12 + 30 \sqrt{6}$ $color(blue)( 12 + 30sqrt6$

$3 \sqrt{2} (\sqrt{8} + 5 \sqrt{12})$ $3sqrt2(sqrt8+5sqrt12)$

Multiplying $3 \sqrt{2}$ $3sqrt2$ with each term within the bracket.

$= (3 \sqrt{2} . \sqrt{8}) + (3 \sqrt{2} . 5 \sqrt{12})$ $= color(red)((3sqrt2 . sqrt8)) + color(blue)((3sqrt2 . 5sqrt12)$

$= 3 . \sqrt{16} + 15 . \sqrt{24}$ $= color(red)(3.sqrt16) +color(blue)(15.sqrt24)$

$= 3.4 + 15.2 \sqrt{6}$ $= color(red)(3.4) + color(blue)(15.2sqrt6$

$= 12 + 30 \sqrt{6}$ $= color(blue)( 12 + 30sqrt6$

How do you multiply 3sqrt2(sqrt8+5sqrt12)3√2(√8+5√12)3sqrt2(sqrt8+5sqrt12)?