Question

prove that 6+√2 is irrational
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Answer 1

Answer:

It is a irrational number because there is under root 2

Answer 2

Answer:

Let's assume 6+root2 is rational

6+root 2=p/q

root2 = p/q-6

root2=p-6q/q

p- 6q/q is rational

Therefore root 2 is rational

This contridicts the fact that root2 is irrational

Therefore our assumption is wrong

Therefore 6+root2 is irrational