Maths-
General
Easy

Question

Explain whether the following are rational or irrational and justify it.
e (Euler’s number = 2.7182818284590452353602874713527)

hintHint:

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


    e(Euler’s number) 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, e(Euler’s number) is an irrational number.

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