Question

if n is natural number then square root of n is a) always natural number b) may be rational or irrational c) always rational number​

Answer 1

Answer:

(b) may be rational or irrational

Step-by-step explanation:

Let n be a naturel no.

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

Then $\sqrt{n}$ is a natural no.

$\sqrt{4}$=2 which is a natural no.

Case 2: when n is not a perfect square (2,3,5,7 ,,,,,,,,,etc.)

$\sqrt{2}$,$\sqrt{3}$,$\sqrt{5}$ ,,,,,,,,,etc. are all irrational number .