Question

What is√, if n is not a perfect square number?​

Answer 1

Answer:

hello

Step-by-step explanation:

Let us suppose that √5 is a rational number.

So √5 = p/q

=> 5 = p2 /q2

=>5q2 = p2 ..............1

So p2 is divisible by 5

=> p is divisible by 5

Let p =5x (x is a positive integer)

Now p2 = 25c2

from equation 1

5q2 = 25c2

=> q2 = 5c2

So q is divisible by 5

hope you understand it..

Thus p and q has a common factor 5. It is contradiction of our assumption.

So, √5 is not a rational number