Question

if n is a natural number than root n​

Answer 1

Answer:Correct option is

D

Either a natural number or a irrational number

Let n be a natural number.

Case I: n is a perfect square (1,4,9,16,25,.... etc. )

Then  

n

​

 is a natural number.

1

​

,  

4

​

,  

9

​

,  

16

​

,  

25

​

, etc. are all natural numbers.

Case II. n is not a perfect square (2,3,5,6,7,8,.... etc. )

2

​

,  

3

​

,  

5

​

,  

6

​

,  

7

​

 etc. are all irrational.

Therefore,  

n

​

 is either a natural number of an irrational number.

Step-by-step explanation: