Question

Which of the following is an irrational number? Choose the correct alternative answer for the question given below.
(A) 0.17
(B) 1.513
(C) 0.2746
(D) 0.101001000.....

Answer 1

heya..

here is ur ans option D)

it is because the decimal expansion of that number is non terminating non repeating


so it is irrational..

hope helped.

Answer 2

Answer:

D) 0.101001000.....

Step-by-step explanation:

In this question,

We need to find which of the following is an irrational number.

For irrational number first we need to understand what are Rational numbers.

So, Rational numbers are the numbers of the form $\frac{p}{q}$ where q ≠ 0 and p,q are integers

Now, Irrational numbers are basically not rational numbers means the number that cannot be written in the form $\frac{p}{q}$,where p and q are integers and q ≠ 0.

In this question we can clearly see that 0.101001000... cannot be written in the form of $\frac{p}{q}$

Hence 0.101001000.... is the irrational number.