Question

√2/ is a rational number? ​

Answer 1

Answer:

This means that √2 is not a rational number. That is, √2 is irrational.

Answer 2

Answer:

no √2 is not rational

Step-by-step explanation:

The number √2 is irrational. The proof can be as follows:

Let's assume that √2 is rational. Then we have:

√2 = p/q (where p and q are co prime numbers and q is not equal to zero)

If we raise this equation to the second power we get:

2 = p^2/q^2

2q^2 = p^2

But this equality is not possible for integer p and q . If we analyzes the prime FACTORIZATION of both sides we can see that number 2 appears even number of times on the right hand side and odd number of times on the left side.

This is a contradiction which leads to the conclusion that the assumption is false, so √2 is an irrational number