How do you simplify #18sqrt12div9sqrt3 #?

1 Answer
Don't Memorise
Sep 14, 2015

#color(blue)(4#

Explanation:

#(18sqrt12) /( 9sqrt3#

#sqrt 12 # can be simplified by prime factorising #12#

#sqrt 12 = sqrt(3 *2^2) = color(blue)(2sqrt3#

Now the expression can be written as:
#(18sqrt12) /( 9sqrt3) = ( 18 * color(blue)(2sqrt3))/(9sqrt3 #

#=(cancel36cancelsqrt3) / (cancel9cancelsqrt3) = color(blue)(4#

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