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Question

π is an irrational number (True/False).

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Solution

Hereis an irrational number

True

Reason:

Rational number is one that can be expressed as the fraction of two integers.

Rational numbers converted into decimal notation always repeat themselves somewhere in their digits.

For example, 3 is a rational number as it can be written as 3/1 and in decimal notation it is expressed with an infinite amount of zeros to the right of the decimal point. 1/7 is also a rational number. Its decimal notation is 0.142857142857…, a repetition of six digits.

However cannot be written as the fraction of two integers and is therefore irrational.

Now,

Thus, it is irrational.


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