Simplifying radicals in practice

The following exercises are solved in this step.

We invite you to try to solve them before watching the video.

In any case, you will find below a PDF file with the solutions.

Exercise 1.

Rationalise the following expression: [ frac{6}{sqrt[3]{4}+sqrt[3]{2}}.]

Exercise 2. [Solved only in the PDF file]

Rationalise the following expression: [ frac{sqrt[3]{x}-y}{sqrt{y}+sqrt[6]{x}}.]

Exercise 3. [Solved only in the PDF file]

Rationalise the following expression: [ frac{2x-sqrt[3]{4x^2}}{sqrt{2x}-sqrt[3]{2x}}.]