Question

prove that root 2 is irrational​

Answer 1

Answer:

Hope this solution help you

Answer 2

Hey mate here is your answer....

Suppose, √2 is rational.

So, take two integers a and b.

Such that, √2 = a/b and suppose a and b are co-prime.

Now, squaring on both sides.

(√2)^2 = a^2 / b^2

2 = a^2 / b^2

2b^2 = a^2................(1)

So, a is divisible by 2.

Now, suppose, a = 2k

Now, squaring on both sides.

a^2 = 4k^2...............(2)

Compare eq^n (1) & (2)

2b^2 = 4k^2.

= 4k^2 / 2b^2

b^2 = 2k^2

So, b is also divisible by 2.

But a and b are co-prime.

So, our assumption is wrong.

Therefore, √2 is irrational.

Hope it help you.... So, Plzz mark my ans as brainliest answer....