Question

prove that 6 + root2 is irrational

Answer 1

Answer:

Since a and b are two integers. Therefore (6-a/b)is a rational number and So root also is a rational number. But it is contradiction to fact root 2 =(6-a/b) is rational number. So we that 6+root 2 is an irrational number.

Answer 2

Answer:

6+√2 is irrational.

Step-by-step explanation:

Let us assume that 6+√2 is rational.

That is , we can find coprimes a and b (b≠0) such that

Since , a and b are integers ,  is rational ,and so √2 is rational.

But this contradicts the fact that √2 is irrational.

So, we conclude that 6+√2 is irrational.

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