How do you simplify $(sqrt2 +2sqrt2 + sqrt8)/ sqrt3$ ?

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Answer 1 · 2015-04-13T20:15:43

In this way:

$(sqrt2 +2sqrt2 + sqrt8)/ sqrt3=(sqrt2+2sqrt2+sqrt(2^3))/sqrt3=$

$=(sqrt2+2sqrt2+2sqrt2)/sqrt3=(5sqrt2)/sqrt3*sqrt3/sqrt3=$

$=(5sqrt6)/3$ .

How do you simplify (sqrt2 +2sqrt2 + sqrt8)/ sqrt3(sqrt2 +2sqrt2 + sqrt8)/ sqrt3?