What is 2square root 3 times 3 square root 27?

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Answer 1 · 2015-07-12T16:53:53

$=color(blue)(54$

2 square root 3 times 3 square root 27 ,in numbers can be represented as:

$2sqrt3 xx color(green)(3sqrt27$

$sqrt27$ can be represented as $color(green)(3sqrt3$

So,
$2sqrt3 xx color(green)(3sqrt27) = 2sqrt3 xx color(green)(3xx3sqrt3$

$=2 xx 3 xx3xx color(green)(sqrt3*sqrt3$

$=2 xx 3 xx 3 xx color(green)(3$

$=color(blue)(54$