Question

During experiments, Madam Curie notes numbers 1.125, 2.125, 1.6080339887... Among these numbers, is an irrational number.

• A. 1.125
• B. 2.125
• C. 1.6080339887...

Answer 1

The correct option is C 1.6080339887...

An irrational number is a number that cannot be expressed in the form of p/q.

Rational numbers can be expressed in the form of p/q. The decimal form of rational number either terminates or repeats.

Hence, among the given 3 numbers 1.6080339887...is the irrational number.

The numbers 1.125 and 2.125 are rational numbers.

Since, 1.6080339887.. cannot be expressed in the form of $\frac{p}{q}$ and since its decimal form neither terminates nor repeats, it is an irrational number.