Question

prove that 6 + root 2 is irrational number

Answer 1

6 plus root 2 is irrational as the value of root 2 is reccuring and not in a pattern

Answer 2

$6 + \sqrt{2}$
is an irrational number

because we can't get its complete square.
it is non terminant and recurring number.

hence it is irrational number.

hope it helps you...