SOLUTION: square root 36a^9b^12 / 3ab^7

Question 189060: square root 36a^9b^12 / 3ab^7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Divide 36 into 3 to get 12

Divide the variable terms by subtracting the corresponding exponents.

Subtract

Factor into

Factor into

Factor into

Break up the square root using the identity .

Take the square root of to get .

Take the square root of to get .

Take the square root of to get .

Rearrange and multiply the terms.

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Answer:

So simplifies to

In other words, where and
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