How do you simplify $5sqrt3 * 8sqrt2$ ?

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Answer 1 · 2015-09-13T00:06:03

$40sqrt6$

Multiply the roots with the roots
and the integers with integers

$sqrt3$ and $sqrt2$ are the roots
$5$ and $8$ are the integers

$5sqrt(3)*8sqrt2" "$ is the same as $" "5*8*sqrt(3)*sqrt(2)$

$rarr5*8=40$

$rarrsqrt(3)*sqrt(2)=sqrt(3*2)=sqrt(6)$

Hence, $5*8*sqrt(3)*sqrt(2)=color(blue)(40sqrt6)$

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