Question

In n is a natural number, than √n is
A. Always a natural number
B. Always an irrational number
C. Always an irrational number
D. Sometimes a natural number and sometimes an irrational number

Answer 1

In n is a natural number, than √n is Sometimes a natural number and sometimes an irrational number

 

Option (D)  Sometimes a natural number and sometimes an irrational number is correct.  

For example :  

√4 = 2 is a natural number.

√5 is an irrational number.

√9 = 3 is a natural number.

√11  is an irrational number.

Extra information :  

• For rational numbers 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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Similar questions :

The number 0.318564318564318564……. is:

A. A natural number

B. An integer

C. A rational number

D. An irrational number

https://brainly.in/question/15896934

 

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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Answer 2

Step-by-step explanation:

_______❤Hola❤______

IF n is a natural number than root n is

SOMETIMES A NATURAL NUMBER AND SOMETIMES AN IRRATIONAL NUMBER.