# SOLUTION: Express the following expression in simplest radical form. All variables represent positive real numbers. SQRT of (8y^3)/49x

Algebra ->  Algebra  -> Radicals -> SOLUTION: Express the following expression in simplest radical form. All variables represent positive real numbers. SQRT of (8y^3)/49x      Log On

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Radicals Question 38202: Express the following expression in simplest radical form. All variables represent positive real numbers. SQRT of (8y^3)/49xAnswer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!From sqrt(8y^3 / 49x), we will need to rationalize the denominator by multiplying by sqrt(x) / sqrt(x)...this will give us a perfect square in the denominator... sqrt(8y^3 / 49x) = sqrt(8y^3 / 49x) * [sqrt(x) / sqrt(x)] = sqrt(8xy^3 / 49x^2) We can pull perfect squares out of the radical from the numerator and denominator, giving us the answer... sqrt(8xy^3 / 49x^2) = (2y / 7x) * sqrt(2xy)