Question 633999
{{{sqrt(root(6, x^5y^6))}}}
The easiest way to work with an expression which has multiple type of roots is to rewrite the radicals using fractional exponents.<br>
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:
{{{((x^5y^6)^((1/6)))^((1/2))}}}
Then, with the rule for exponents for raising a power to a power (i.e. multiply the exponents), this simplifies to:
{{{(x^5y^6)^((1/12))}}}
This may be an acceptable answer. But we can easily switch back to radical form. 1/12 as an exponent means 12th root:
{{{root(12, x^5y^6)}}}