Prove that 6+ root2 is irrational.

1.	Prove that 6+ root2 is irrational.
Answer» First we have to prove ✓2 is irrational . Then,Assume 6+✓2 is rationalie.6+✓2=a÷b ✓2=a÷b -6 ✓2=a-6b÷b, which is rationalBut this is the contradiction to the fact that√2 is irrationalTherefore our supposition was wrongTherefore 6+√2 is irrationalHence proved Don\'t possible here..

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