Irrational Numbers

Show me the construction of $\sqrt{5}$ on number line.

How to represent root $2$ on number line ?

 Represent $\sqrt{2}$ on the number line.

Represent $\sqrt{2}$ & $\sqrt{5}$ on number line.

What is the value of $\sqrt{3}$?

If $\sqrt{5}=24$, then find the value of $\frac{\sqrt{\sqrt{5}-1}}{\sqrt{5}+1}$.

Does the rational number $1.5$ lies between $\sqrt{2}\text{ and }\sqrt{3}$?

If $x=2 +\sqrt{3}$, find the value of $x^3+\frac{1}{x^3}$

Choose the irrational numbers from the following

$\sqrt{2} , \sqrt{3}, 5 , 5.75, 1.735, ......... \sqrt{8},\sqrt{4},\sqrt{16}$

If $\frac{4}{4\sqrt{5}-\sqrt{3}}+\frac{2}{4\sqrt{5}+\sqrt{3}}=a\sqrt{5}+b\sqrt{3}$, then find the value of $a \text{and} b$.

Which of the following equation gives an irrational number on solving?

Locate $\sqrt{10}$ on the number line.

$-1+\sqrt{2}$ lies in the negative side on the number line. What do you say?

How to represent root $15$ on number line.

If $a=5-2\sqrt{5}$, then find $a^2$.

Locate $2+\sqrt{5}$ on the number line.

What is the difference between rational and irrational number?

Represent $\sqrt{6}$ on number line.

What is the $\sqrt{2}$ ? 

What is a unit square? Show that the length of the diagonal of a unit square is an irrational number.