SOLUTION: I'm supposed to multiply these square roots but how do I handle these exponents since they have n and +1 as exponents? I intended for each square root symbol to extent over each se

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Question 1059217: I'm supposed to multiply these square roots but how do I handle these exponents since they have n and +1 as exponents? I intended for each square root symbol to extent over each set of numbers but don't know how to type that. Also any help on how to type a square root symbol that extends over more than one number would be helpful.
[√x^(2n)]*[√x^3*y^(3n)]*[√y^9n+1)]
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E%282n%29%29%2Asqrt%28x%5E3y%5E%283n%29%29%2Asqrt%28y%5E%289n%2B1%29%29
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Multiply
= sqrt%28x%5E%282n%29%2Ax%5E3y%5E%283n%29%2Ay%5E%289n%2B1%29%29
Add exponents
= sqrt%28x%5E%282n%2B3%29%2Ay%5E%2812n%2B1%29%29
= sqrt%28x%2Ax%5E%282n%2B2%29%2Ay%2Ay%5E%2812n%29%29
= x%5E%28n%2B1%29%2Ay%5E%286n%29%2Asqrt%28xy%29%29
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On this site, use 3 { and 3 } and sqrt.
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Click the "Show source" to see it.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I'm supposed to multiply these square roots but how do I handle these exponents since they have n and +1 as exponents? I intended for each square root symbol to extent over each set of numbers but don't know how to type that. Also any help on how to type a square root symbol that extends over more than one number would be helpful.
[√x^(2n)]
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[sqrt(x^(2n))]*sqrt[x^2*x*y^(2n)y^n] *sqrt[y^(8n)*y^(n+1)]
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[x^n]*y^(4n)*sqrty^(n+1)]
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= [x^(n+1)*y^(5n)]*sqrt[x*y^(2n+1)]
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= [x^(n+1)*y^(5n)]*sqrt[x*y(2n)*y]
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= [x^(n+1)y^(6n)]*sqrt[x*y]
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Cheers,
Stan H.
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