Chapter 8.2, Problem 12MC

To determine

(a)

To find:

$\sqrt[3]{728}$ is rational or irrational number.

To determine

(b)

To find:

$\frac{2}{\sqrt{2}}$ is rational or irrational number.

To determine

(c)

To find:

$\sqrt[3]{2^9\cdot 3^{12}}$ is rational or irrational number.

To determine

(d)

To find:

$\sqrt[3]{2}\cdot \sqrt[3]{4}$ is rational or irrational number.

To determine

(e)

To find:

$\left(\sqrt{3}-\sqrt{2}\right)\left(\sqrt{3}+\sqrt{2}\right)$ is rational or irrational number.

To determine

(f)

To find:

${\left(\sqrt{3}-\sqrt{2}\right)}^2$ is rational or irrational number.