Irrational Numbers

What is $2\sqrt{7}+2\sqrt{3}$?

$\sqrt{p}+\sqrt{q}$ is irrational?

Prove that $(5-2\sqrt{3})$ is an irrational number, given that $\sqrt{3}$ is an irrational number.

Prove that $\sqrt{3}-\sqrt{5}$ is irrational.

Prove that $\sqrt{8}+5$ is irrational.

How the value of $\pi$ is determined?

List the properties of irrational numbers.

Prove that ${\left(3+2\sqrt{5}\right)}^2$ is irrational.

Prove that $7-2\sqrt{3}$ is an irrational number.

Show that $\sqrt{2}+\sqrt{5}$ is an irrational number.

Prove that $3\sqrt{11}$ is an irrational number.

What is a real number set?

Show that $3+\sqrt{5}$ is irrational

$\frac{\sqrt{2}}{3}$ is rational or irrational number

Simplify:

$\frac{2\sqrt{27}+3\sqrt{12}}{4\sqrt{3}}$

Give an example of two irrational numbers, whose difference is a irrational number.

Find the difference between two irrational numbers $(4+\sqrt{2})$ and $(2+\sqrt{2})$

Prove that $\sqrt{2}$ is an irrational number.

 $\sqrt{3}$ is an irrational number.

$\sqrt{8}$ is a rational number