Question

Prove that 3 root 2 is irrational

Answer 1

Step-by-step explanation:

let us assume on the contrary that 3 root is rational. Then, we can find two integers a and b such that 3 root 2 = a/b where b is not 0

Now, sending 3 to RHS

Root 2= a/3b

Also, a/3b is rational because a and b are integers

This means that root 2 is also rational.

This is a contradiction.

This contradiction has arisen due to our wrong assumption that 3 root 2 is rational.

Therefore, 3 root 2 is irrational.

Hence, proved!

Answer 2

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