SOLUTION: How do you find the square root of a fraction? For example, find the square root of 8/3

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Question 1067532: How do you find the square root of a fraction?
For example, find the square root of 8/3
Found 4 solutions by stanbon, josgarithmetic, math_helper, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the square root of a fraction?
For example, find the square root of 8/3
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Make the denominator a perfect square::
8/3 = 24/9
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Sqrt(8/3) = sqrt(24)/sqrt(9) = 2sqrt(6)/3 = (2/3)sqrt(6)
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Cheers,
Stan H.
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Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Square Root of 8%2F3

sqrt%288%2F3%29

sqrt%288%2F3%29%28sqrt%283%29%2Fsqrt%283%29%29

sqrt%288%29sqrt%283%29%2F3

sqrt%282%2A2%2A2%2A3%29%2F3

%282%2Asqrt%282%2A3%29%29%2F3

highlight%282%2Asqrt%286%29%2F3%29

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Use this:
+sqrt%28a%2Fb%29+=+sqrt%28a%29%2Fsqrt%28b%29+
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It comes from +%28a%2Fb%29%5En+=+%28a%5En%29%2F%28b%5En%29+ where n=1/2 for sqrt.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You can use this method:
+sqrt%28+8%2F3+%29+=+sqrt%288%29+%2F+sqrt%283%29+
+sqrt%28+8%2F3+%29+=+sqrt%28+4%2A2+%29+%2F+sqrt%283%29+
+sqrt%28+8%2F3+%29+=+%28+sqrt%284%29%2Asqrt%282%29+%29+%2F+sqrt%283%29+
+sqrt%28+8%2F3+%29+=+2%2A+sqrt%282%29+%2F+sqrt%283%29+