How do you simplify $4sqrt 6. • 6sqrt2$ ?

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Answer 1 · 2017-08-02T10:35:33

$48sqrt3$

deal with the integers and roots separately.

$4sqrt(6)*6sqrt(2)$

$=(4xx6)(sqrt6xxsqrt(2))$

$=24sqrt(6xx2)=24sqrt12$

now simplify the square root by removing perfect squares

$=24sqrt(4xx3)$
$=24sqrt4sqrt3$
$24xx2sqrt3$

$=48sqrt3$

How do you simplify 4sqrt 6. • 6sqrt24sqrt 6. • 6sqrt2?