\frac{9\sqrt[4]{15} }{3\sqrt[3]{9} } simplyfy

Question

`\frac{9\sqrt[4]{15} }{3\sqrt[3]{9} }` simplyfy

Answer 1

Multiply the numerator and denominator by the conjugate.

12√273375

Answer 2

`\Huge \boxed{\sqrt[12]{273375}}`

Explanation:

Step 1: Cancel the common factor of 9 and 3

`\Large \frac{3\sqrt[4]{15}}{\sqrt[3]{9}}`

Step 2: Multiply
`\textbf{$\frac{3\sqrt[4]{15}}{\sqrt[3]{9}}$}` by
`\textbf{$\frac{\sqrt[3]{9^(2)}}{\sqrt[3]{9^(2)}}$}`

`\Large \frac{3\sqrt[4]{15}}{\sqrt[3]{9}} * \frac{\sqrt[3]{9^(2)}}{\sqrt[3]{9^(2)}}`

Step 3: Simplify the terms

`\Large \frac{\sqrt[4]{15} \sqrt[3]{9^(2)}}{3}`

Step 4: Simplify the numerator

`\Large \frac{3\sqrt[12]{273375}}{3}`

Step 5: Cancel the common factor of 3

`\Large \sqrt[12]{273375}`

Therefore, the final simplified expression is
`\sqrt[12]{273375}`.

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