Give an example of two irrational numbers whose

Quotient is an irrational number.

Give an example of two irrational numbers whose quotient is a rational number.

Examine whether the following numbers are rational or irrational.

$3+\sqrt{3}$

Examine whether the following numbers are rational or irrational.

$\sqrt{7}-2$

Examine whether the following numbers are rational or irrational.

$\sqrt[3]{5}\times \sqrt[3]{25}$

Examine whether the following numbers are rational or irrational.

$\sqrt{7}\times \sqrt{343}$

Examine whether the following number is rational or irrational.

$\sqrt{\frac{13}{117}}$

Examine whether the following numbers are rational or irrational.

$\sqrt{8}\times \sqrt{2}$