Question

is 8.141141114... a rational or irrational number explain

Answer 1

irrational numbers because a no. which is nor repeating nor terminating those numbers are called as irrational numbers.
as per the question we see that
8.141141114.....
no. after decimal places where nor repeating nor terminating they goes as longer and infinite.
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Answer 2

8.141141114 is an irrational number.

• The numbers can be broadly divided into two categories namely rational numbers and irrational numbers.
• Rational numbers are the numbers that can be represented in fraction or ratio. The format they can follow is p/q, where q is not equal to 0.
• Contrary to this, an irrational number can not be represented in this form i.e. as a fraction or ratio.
• Rational numbers are characterized by the presence of finite and recurring digits.
• Irrational numbers are characterized by the infinite digits in the number, which do not repeat in the number.
• An example of rational numbers is 3, 8, 3/9, -0.27, 9.454545...
• An example of an irrational number is pi, $- \sqrt{8}$, $\sqrt[3]{18}$, $\sqrt{10}$ etc.

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