Question

prove that root 6 + root 7 is irrational

Answer 1

Hi friend
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Your answer
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To prove : - 6 + √7 is irrational.

Now,
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√7 = 2.6457513110.......

It is non terminating and non repeating decimal. So, √7 is irrational.

Now,
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(Rational number) + (Irrational number) = Irrational number

So, 6 (rational) + √7 (irrational) = 6 + √7 (irrational)

Hence, proved.

HOPE IT HELPS