SOLUTION: I am having trouble with square roots. Can you help me with these problems, please? 1. Multiply -- sqrt 3/5 x sqrt 6/4 = 2. Simplify -- sqrt 27/p^2 = 3. Divide -- sqrt 9x

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Question 310473: I am having trouble with square roots. Can you help me with these problems, please?
1. Multiply -- sqrt 3/5 x sqrt 6/4 =
2. Simplify -- sqrt 27/p^2 =
3. Divide -- sqrt 9x^5y divided by sqrt 12x^2y^6 =
4. Divide -- 2 divided by sqrt 3 plus sqrt 6 =
Thank you.
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1. Multiply -- sqrt (3/5) x sqrt (6/4) = sqrt(18/20) = (3/2)sqrt(2/5)
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2. Simplify -- sqrt (27/p^2) = (3/p)sqrt(3)
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3. Divide -- sqrt 9x^5y divided by sqrt 12x^2y^6
= sqrt[(3/4)x^3/y^5]
= (x/y^2)sqrt(3x/y)
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4. Divide -- 2 divided by sqrt 3 plus sqrt 6
= 2/(sqrt(3)+sqrt(6))
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Multiply numerator and denominator by(sqrt(3)-sqrt(6)) to get:
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= (2(sqrt(3)-sqrt(6))/(3-6)
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= (-3/2)(sqrt(3)-sqrt(6))
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Cheers,
Stan H.
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