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 Monomials Square and cube roots of monomials The square root of a monomial is equal to the square root of the numerical coefficient, multiplied by the literal factors, with the exponent of each literal factor divided by 2, and the sign of the answer is + or -. Find $\sqrt{9x^4y^6}$. Solution: $\sqrt{9x^4y^6}=\pm\;3x^2y^3$ The cube root of a monomial is equal to the cube root of the numerial coefficient, multiplied by the literal factors, with the exponent of each literal factor divided by 3, and the sign of the answer is the same as the sign of the monomial. Find $\sqrt[3]{27x^3y^6z^9}$. Solution: $\sqrt[3]{27x^3y^6z^9}=3xy^2z^3$ Find $\sqrt[3]{-27x^3y^6z^9}$. Solution: $\sqrt[3]{-27x^3y^6z^9}=-3xy^2z^3$