How do you simplify 18sqrt12div9sqrt3 18√12÷9√3?

1 Answer
Don't Memorise
Sep 14, 2015

color(blue)(44

Explanation:

(18sqrt12) /( 9sqrt318√129√3

sqrt 12 √12 can be simplified by prime factorising 1212

sqrt 12 = sqrt(3 *2^2) = color(blue)(2sqrt3√12=√3⋅22=2√3

Now the expression can be written as:
(18sqrt12) /( 9sqrt3) = ( 18 * color(blue)(2sqrt3))/(9sqrt3 18√129√3=18⋅2√39√3

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

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