Question

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

Answer 1

`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]