Question

Q27-lf p Is a natural number other than a perfect square, then √p is
(a) A rational number (b) an irrational number (c) a natural number (d) a whole number:1​

Answer 1

Step-by-step explanation:

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.