Question

Which of the following is the decimal expansion of an irrational number
(a) 4.561 (b) 0.12bar (c) 5.010010001… (d) 6.03

Answer 1

Answer:

5.010010001…   is irrational number

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction.

4.561

= 4561/1000

0.12 bar

x = 0.12bar

100x = 12.12bar

99x = 12

x = 12/99 = 4/33

0.12 bar = 4/33

6.03 = 603/100

5.010010001…  can not be written as simple fraction

hence 5.010010001…   is irrational number

Answer 2

The correct answer is (c) 5.010010001......

Because it can't be written as simple fraction, don't have any definite solution and have infinite digits.

For example: π (pie) = 3.14159265358.......

Hope it will be helpful for you.

So, please mark it as the brainliest answer.