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#