Irrational Numbers on the Number Line

Q.

Find the square root of 27.04 by long division method.

Q. Two irrational number between 2 and 2.5 are :-

1. $\sqrt{5}$ and $\sqrt{2\times \sqrt{5}}$
2. $\sqrt{5}$ and $\sqrt{2\times 5}$
3. $\sqrt{5}$ and $\sqrt{2\times \sqrt{7}}$
4. None of these

Q.

An irrational number between $5$ and $6$ is:

1. a) $\sqrt{5+6}$

2. b) $\frac{1}{2}(5+6)$

3. c) $\sqrt{5\times 6}$

4. d) None of these.

Q. Choose the irrational number that lies between 5 and 9.

1. $\sqrt{36}$
2. $\sqrt{25}$
3. $\sqrt{31}$
4. $\sqrt{17}$

Q. Express $0.\overline{6}$ in the form $\frac{p}{q}$, where p and q are integers and $q\ne 0$.

Q.

Find the square roots of the following number by Division method:

900

Q.

Find the square roots of the following number by Division method:

900

Q. $\text{Express the following in the form}$$\frac{p}{q}$, $\text{where p and q are integers and}q\ne 0$
(i) 0.00323232...
(ii) 0.404040…

Q.

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

1. $\sqrt{7}$

2. $\sqrt{5}$

3. $\sqrt{3}$

4. $\sqrt{2}$

Q. Find the irrational number that lies between 4 and 9. ​

1. sqrt 12
2. sqrt 25
3. sqrt 36
4. sqrt 71

Q. Which of the following irrational number lies between $\frac{3}{4}$ and $\frac{7}{8}$?

1. $\sqrt{\frac{38}{64}}$
2. $\sqrt{\frac{100}{128}}$
3. $\frac{6}{8}$
4. None of these