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

1 Answer
Sep 17, 2015

Answer:

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

Explanation:

#(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#