Question

Prove that 5 root 2 is irrational number

Answer 1

Answer:

refer to the attachment for the solution.

Answer 2

Step-by-step explanation:

Let, 5√2 be rational.

Therefore, 5√2 =a/b, where a and b are integers having no common factor other than 1.

Now, 5√2 =a/b

=>√2=a/5b

Since, a and b are integers, therefore √2 is rational. This contradicts the fact that √2 is irrational. Therefore, our assumption was wrong. Therefore, 5√2 is irrational.