Question

Which of the following is irrational?
A. 0.14
B. 0.1416
C. 0.1416
D. 0.1014001400014….

Answer 1

Step-by-step explanation:

D no is irrational number

Answer 2

0.1014001400014…. is irrational.

Option (D) 0.1014001400014…. is correct.  

 

Extra information :  

A number can have decimal representation in one of the following forms :  

(1) Terminating

(2) Non terminating but repeating (recurring)

(3) Non terminating and non repeating

1 and 2 are rational numbers and number 3 are known as irrational numbers.

For rational number in the form of p/q where q ≠ 0,  on dividing p/q, two main cases occur either  the remainder becomes zero after a certain stage or never becomes zero and we get a repeating string of remainders.  

A number is an irrational number, if it has a non terminating and non repeating decimal representation.

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The number 0.318564318564318564……. is:

A. A natural number

B. An integer

C. A rational number

D. An irrational number

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Which of the following is a correct statement?

A. Sum of two irrational numbers is always irrational.

B. Sum of a rational and irrational number is always an irrational number

C. Square of an irrational number is always a rational number

D. Sum of two rational numbers can never be an integer.

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