# Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

**Solution:**

The square roots of all positive integers are not irrational numbers.

For example, √4 = ± 2 which indicates that either 2 or -2 can be the square root of 4.

We see that both 2 and -2 are rational numbers because they can be expressed as 2/1 and -2/1 respectively.

**☛ Check: **NCERT Solutions Class 9 Maths Chapter 1

**Video Solution:**

## Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

NCERT Solutions Class 9 Maths Chapter 1 Exercise 1.2 Question 2

**Summary:**

No, the square roots of all positive integers are not irrational. As we can take an example, √4 = ± 2 where 2 and -2 are both rational numbers.

**☛ Related Questions:**

- State whether the following statements are true or false. Justify your Answers. i) Every irrational number is a real number. ii) Every point on the number line is of the form √m, where m is a natural number. iii) Every real number is an irrational number.
- Show how √5 can be represented on the number line.

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