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# Insert a rational number and an irrational number between 6.375289 and 6.375738

**Solution:**

Given, the numbers are 6.375289 and 6.375738.

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 = 6.375289 and q = 6.375738

R = ( 6.375289 + 6.375738)/2

R = (12.751057)/2

R = 6.3755285.

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

Q = √pq,

where p and q are not perfect squares.

Q = √ 6.375289(6.375738)

Q = 6.3755284955….

Therefore, the rational number is 6.3755285 and the irrational number is 6.3755284955

**✦ Try This: **Insert a rational number and an irrational number between 5.9989892 and 7.8989893.

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

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

## Insert a rational number and an irrational number between 6.375289 and 6.375738

**Summary:**

The rational number and irrational number between 6.375289 and 6.375738 are 6.3755285 and 6.3755284955… respectively

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