Question

Rationalize the denominator in the following expression. Use sqrt(x) for \[\sqrt{x}\] and root (x)(y) for \[\sqrt[x]{y}\]. 4/cube root (9)

Answer 1

\[4/ \sqrt[3]{9}\]

Answer 2

multiply top and bottom by
\[\sqrt[3]{3}\]

Answer 3

get
\[\frac{4\sqrt[3]{x}}{\sqrt[3]{9}\times \sqrt[3]{3}}\]
\[=\frac{4\sqrt[3]{3}}{\sqrt[3]{27}}=\frac{4\sqrt[3]{3}}{3}\]