Irrational Numbers on the Number Line

Q. Find two rational and two irrational number between 2 and 5

Q.

$\text{If}y=\frac{\sqrt{5}+2}{\sqrt{5}-2}$, then $y^2=$ _________.

1. $161-72\sqrt{5}$

2. $161$

3. $161+72\sqrt{5}$

4. $144\sqrt{5}$

Q. If $\sqrt{2}=1.414$, then the value of $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is :

1. 0.207
2. 2.414
3. 0.621
4. 0.414

Q. What is the distance between $\sqrt{2}$ & -$\sqrt{2}$ on the number line approximately?

Q. Locate $\sqrt{17}$ on the number line.

Q.

An irrational number is marked on the number line (C) as shown in fig. Then find the value of C.

Q.

$(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})=$_____.

1. 3

2. 4

3. 1

4. 6

Q.

Where would the number $\sqrt{2}$ lie on the number line?

1. between $0$ and $1$

2. between $1$ and $2$

3. between $2$ and $3$

4. None of the above