How do you simplify (5sqrt12+4sqrt147)/sqrt2?

1 Answer
Binayaka C.
Oct 23, 2016

19sqrt6

Explanation:

(5sqrt12+4sqrt147)/sqrt2 = (5*sqrt(2*2*3)+ 4*sqrt(7*7*3))/sqrt2 = (5*2*sqrt3+4*7*sqrt3)/sqrt2 =(sqrt3*(10+28))/sqrt2=(38*sqrt3)/sqrt2=(19*sqrt2*cancelsqrt2*sqrt3)/cancelsqrt2=19*sqrt2*sqrt3=19sqrt6[Ans]

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