# Insert a rational number and an irrational number between 2.357 and 3.121

**Solution:**

Given, the numbers are 2.357 and 3.121

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 = 2.357 and q = 3.121, we get,

R = (2.357 + 3.121)/2

R = (5.478)/2

R = 2.748.

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

Q = √pq,

where p and q are not perfect squares.

Q = √2.357(3.121)

Q = 2.7225677218..

Therefore, the rational number is 2.748 and the irrational number is 2.7225677218.

**✦ Try This: **Insert a rational number and an irrational number between 0.002 and 0.0003.

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

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

## Insert a rational number and an irrational number between 2.357 and 3.121

**Summary:**

The rational number and irrational number between 2.357 and 3.121 are 2.748 and 2.7225677218… respectively

**☛ Related Questions:**

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