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

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Answer 1 · 2015-07-12T16:53:53

$= 54$ $=color(blue)(54$

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

$2 \sqrt{3} \times 3 \sqrt{27}$ $2sqrt3 xx color(green)(3sqrt27$

$\sqrt{27}$ $sqrt27$ can be represented as $3 \sqrt{3}$ $color(green)(3sqrt3$

So,
$2 \sqrt{3} \times 3 \sqrt{27} = 2 \sqrt{3} \times 3 \times 3 \sqrt{3}$ $2sqrt3 xx color(green)(3sqrt27) = 2sqrt3 xx color(green)(3xx3sqrt3$

$= 2 \times 3 \times 3 \times \sqrt{3} \cdot \sqrt{3}$ $=2 xx 3 xx3xx color(green)(sqrt3*sqrt3$

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

$= 54$ $=color(blue)(54$