Question

how to prove under root 2 is a irrational number​

Answer 1

Answer:

A proof that the square root of 2 is irrational. Let's suppose √2 is a rational number. Then we can write it √2 = a/b where a, b are whole numbers, b not zero. We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction

Answer 2

root 2 =a/b

root 2 b=a

b=a/root 2

therefore,a is divisible is by root2

therefore it is divisible by 2 also

let's take c instead of a

root2=b/c

root2c =b

c=b/root 2

therefore b is divisible by root 2

therefore it's also divisible by 2

hence, a nd b are irrational and it's divible by 2

so,root2 is also irrational number