Question
Simplify: \sqrt[3]{27x^3}
Simplify: \sqrt[3]{27x^3}
Use the Inverse Property for radical expressions \sqrt[n]{a^n}=a when n is odd.
and product rule \sqrt[n]{ab}=\sqrt[n]{a}\cdotp \sqrt[n]{b} to simplify the radical expression
\sqrt[3]{27x^3}
=\sqrt[3]{3^3\cdotp x^3}
=\sqrt[3]{3^3}\cdotp\sqrt[3]{x^3}
=3x