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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: