# Insert a rational number and an irrational number between √2 and √3

**Solution:**

Given, the numbers are √2 and √3.

We know that

√2 = 1.41

√3 = 1.732

Rational numbers are numbers which are in the form of p/q, where q is not equal to 0, p and q are integers.

Irrational numbers are numbers which are in decimal form.

To find a rational number R, we use the formula,

R = (p + q)/2

Let p = 1.41 and q = 1.732, we get,

R = (1.41 + 1.732)/2

R = (3.142)/2

R = 1.571

To find an irrational number Q, we use the formula,

Q = √pq,

where p and q are not perfect squares.

Q = √1.41 × 1.732

Q = 1.5627…

Therefore, the rational number is 1.571 and the irrational number is 1.5627...

**✦ Try This:** .Insert a rational number and an irrational number between 2.021 and 3.335.

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

**NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 3(vi)**

## Insert a rational number and an irrational number between √2 and √3

**Summary:**

The rational number and irrational number between √2 and √3 are 1.571 and 1.5627… respectively

**☛ Related Questions:**

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