The correct answer of the question is x(√3xy)/y .
We have to rationalize the denominator of the expression √36 x³/√12y ,
where x and y are positive.
√36 x³/√12y
= √36 x³/√12y × √12y/√12y
= 6√(x³ × 12y)/√(12y × 12y)
= 6√(x³12y)/12y
= √(12x³y)/2y
= √(2 × 2 × 3 × x × x × y)/2y
= 2x√(3xy)/2y
= x(√3xy)/y
The answer is x(√3xy)/y .
"See a similar question here- brainly.com/question/13590762 "
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