# SOLUTION: Can you simplify this radical: square root(sixth root(x^5 y^6 ))

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

 Question 633999: Can you simplify this radical: square root(sixth root(x^5 y^6 ))Answer by jsmallt9(3296)   (Show Source): You can put this solution on YOUR website! The easiest way to work with an expression which has multiple type of roots is to rewrite the radicals using fractional exponents. A square root is the same as an exponent of 1/2 and a sixth root is the same as an exponent of 1/6. Rewriting your expression with these exponents instead of the radicals we get: Then, with the rule for exponents for raising a power to a power (i.e. multiply the exponents), this simplifies to: This may be an acceptable answer. But we can easily switch back to radical form. 1/12 as an exponent means 12th root: