Sqrt(p) is Irrational, Where p is Prime

Q.

What do you do to check whether a number is rational or irrational?

In your explanation, use an example of an irrational and rational number.

Q. State true or false.
$\sqrt{2}$ and $\sqrt{3}$ are irrational numbers.

1. True
2. False

Q. Which of the following is/are an irrational number?

1. $\pi$

2. $\sqrt{5}$

3. $\sqrt{7}$

4. $\frac{22}{7}$

Q.

Which one of the following is not a rational number?

$\sqrt{2}$

Q.

Which number does not belong with the other three? Explain your reasoning.

1. $-\frac{11}{12}$

2. $25.075$

3. $\sqrt{8}$

4. $-3.\overline{3}$

Q. Which of the following numbers is not irrational?

1. $5+\sqrt{2}$
2. $5-\sqrt{2}$
3. $5+\sqrt{9}$
4. $5+\sqrt{3}$

Q. Which of the following are irrational numbers?

1. 0.2

2. 3.1415926535... (non-repeating and non-terminating)

3. $\sqrt{3}$

4. ${0.2}^2$

Q. $1+\sqrt{3}$ is a real rational number.

1. False
2. True

Q.

Which one of the following can't be the square of a natural number ?

1. 20164

2. 42437

3. 32761

4. 81225