Rational and Irrational Number

Q.

Insert a rational number and an irrational number between $\sqrt{2}$ and $\sqrt{3}$.

Q. Which of the following is a rational number between $\frac{5}{4}$ and $\frac{3}{2}$?

1. $\frac{11}{8}$
2. $\pi$
3. $\sqrt{5}$
4. $\frac{5}{2}$

Q.

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is

1. $\frac{\sqrt{2}+\sqrt{3}}{2}$

2. $\frac{\sqrt{2}\times \sqrt{3}}{2}$

3. $1.5$

4. $1.8$

Q.

Which of the following are two irrational numbers between 5 and 6 ?

1. $\sqrt{25},\sqrt{36}$

2. $\sqrt{5},\sqrt{6}$

3. $\sqrt{5\sqrt{30}},\sqrt{30}$

4. $5.5,5.7$

Q. An irrational number between 2 and 2.5 is:​

1. $\sqrt{22}$
2. $\sqrt{9}$
3. $\sqrt{5}$
4. $\sqrt{11}$

Q. Find any three rational numbers between $\frac{-7}{11}$ and $\frac{2}{11}$
$\left[3\right]$

Q. Every irrational number is a __________ number.

1. rational
2. whole
3. integer
4. real

Q.

Find two irrational and two rational numbers between 2 & 3. [4 MARKS]

Q.

On a number line -7 and -17 are marked. The position of -17 is

1. None of these

2. To the right or left of -7

3. To the right of -7

4. To the left of -7

Q. The product of two irrational numbers is ____.

1. rational
2. whole
3. irrational
4. rational or irrational

Q.

Which of the following is a rational number?

1. $\sqrt{2}$

2. $\pi$

3. $\frac{2}{0}$

4. 4.8

Q. Which of the following is a true statement?

1. The sum of two irrational numbers is an irrational number
2. The product of two irrational numbers is an irrational number
3. Every real number is always rational
4. Every real number is either rational or irrational