How would you simplify and rationalize this expression? \frac{5\sqrt[4]{2}}{4\sqrt[4]{162} }

Question

How would you simplify and rationalize this expression?
`\frac{5\sqrt[4]{2}}{4\sqrt[4]{162} }`

Answer 1

5/12

Explanation:

(5 * 2^1/4)/4 * 162^1/4) = (5 * 2^1/4)/4 * 3 *2^1/4)

multiply top and bottom by 2^3/4

(5 * 2)/4 * 3 * 2) = 10/24 = 5/12