Verified answer

is & part of equation or you mean:

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[sqrt (2x) y^2]*[sqrt (5x^2 y^3 )]

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so: separate integers from variables and multiply variables with thesame base by just adding exponents:

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for variable squaroot => sqrt n= n^(1/2)

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[sqrt (5*2)]*{x^[(1/2) plus (2/2)]} * {y^[2 plus (3/2)]}

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(sqrt 10)*[x^(3/2)]*[y^(7/2)]

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sqrt [10 x^3 y^7] or (x y^3)[sqrt (10xy)] answer (@_@)

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hope this helps (@_@)