Which of the following is irrational
a. 0.14
b. \(0.14\overline{16}\)
c. \(0.\overline{1416}\)
d. 0.4014001400014…

Solution:

We know that

An irrational number is non terminating and non recurring

a. 0.14 is terminating

b. \(0.14\overline{16}\) is non terminating recurring

c. \(0.\overline{1416}\) is non terminating recurring

d. 0.4014001400014… is non terminating non recurring

Therefore, 0.4014001400014…is irrational.

✦ Try This: Which of the following is irrational? a. 0.15, b. \(0.15\overline{26}\), c. \(0.\overline{1526}\), d. 0.5015001500015…

We know that

An irrational number is non terminating and non recurring

a. 0.15 is terminating

b. \(0.15\overline{26}\) is non terminating recurring

c. \(0.\overline{1526}\) is non terminating recurring

d. 0.5015001500015… is non terminating non recurring

Therefore, 0.5015001500015…is irrational.

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

NCERT Exemplar Class 9 Maths Exercise 1.1 Problem 7

Which of the following is irrational? a. 0.14, b. 0.14 bar, 16 c.0.bar 1416, d. 0.4014001400014…

Summary:

An irrational number is non terminating and non recurring. 0.4014001400014…is irrational

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