6+root 2 is irrational number
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Let us assume that 6+√2 is a rational number.
Then,
(6+√2)-6) = √2 ,is also a rational number (difference of rationals is a rational number)
But this contradicts the fact that √2 is an irrational number.
This contradiction arises by assuming that 6+√2 is a rational number.
Thus,our assumption was wrong, 6+√2 is an irrational number
Hence proved..
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