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

**Solution:**

Given, the numbers 2 and 3.

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 = 2 and q = 3, we get,

p + q = 2 + 3

= 5

R = 5/2

R = 2.5

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

Q = √pq

where p and q are not perfect squares.

Q = √2(3)

Q = √6

Q = 2.449489…

Therefore, the rational number is 2.5 and the irrational number is 2.449489….

**✦ Try This: **Insert a rational number and an irrational number between 1 and 3.

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

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

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

**Summary:**

The rational number and irrational number between 2 and 3 are 2.5 and 2.449489…. respectively

**☛ Related Questions:**

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