How do you simplify $18sqrt12div9sqrt3$ ?

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Answer 1 · 2015-09-14T06:00:57

$color(blue)(4$

$(18sqrt12) /( 9sqrt3$

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

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

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

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

How do you simplify 18sqrt12div9sqrt3 18sqrt12div9sqrt3 ?