How do you simplify $(6sqrt 18) / (4 sqrt 8)$ ?

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Answer 1 · 2015-09-17T07:17:09

$(6sqrt 18) / (4 sqrt 8) = color(green)( 9 / 4 = 2.25$

$(6sqrt 18) / (4 sqrt 8) = (3*cancel(2)*sqrt(3^2*2))/(2*cancel(2)*sqrt(2^2*2))$

We know that $color(blue)(sqrt(a*b) = sqrta*sqrtb$

$= (3*sqrt(3^2)*cancel(sqrt2))/(2*sqrt(2^2)*cancel(sqrt2))$

$= (3*3)/(2*2)$

$=color(green)( 9 / 4 = 2.25$

How do you simplify (6sqrt 18) / (4 sqrt 8)(6sqrt 18) / (4 sqrt 8)?