Question

proove that √2 is an irrational number

Answer 1

I hope it will help you

Answer 2

Let assume underoot 2 as rational number:
Let a and b the two co primes 
So putting value 
Underoot 2 = a/b 
^2 * b = a 
Squaring both the sides
2b2 = a2 
If a2 is equal to 2 
Then a is also equal to 2
Let take another co prime name it as c
C = 2c2
2c = 4c 
a = 2c 
Hence 
A is also equal to 2 
And C is also equal to 2
We know that irrational numbers are only 1 co prime number but there is two or more than prime numbers.


So, ^2 is irrational number