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Maths-

General

Easy

Question

Explain whether the following are rational or irrational and justify it.
$stack pi with _ below left parenthesis 3.1415926535897932384626433832795 right parenthesis with _ below$

hint Hint:

Hint:
A rational number is a type of real number, which is in the form of p/q where q is not equal to zero. For a decimal number, if a decimal expansion is a terminating decimal then it is a rational number and if a decimal expansion is non-terminating but a repeating decimal then it is also a rational number but if a decimal expansion is a non-repeating and non-terminating decimal then it is an irrational number.

The correct answer is: is an irrational number.

π is an irrational number because the decimal expansion is a non-terminating decimal and the digits after the decimal point are non-repeating and we know that, if a decimal expansion is a non-repeating and non-terminating decimal then it is an irrational number.
Final Answer:
Hence, π is an irrational number.

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