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Question

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

A
1.125
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B
2.125
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C
1.6080339887...
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Solution

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 pq and since its decimal form neither terminates nor repeats, it is an irrational number.

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