Question

Prove that 3 +
5 is an irrational number
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Answer 1

The question mentions that to prove 3+5 irrational, but it's rational. So I am solving it by taking the number as 3 + root 5;

Solution: If possible, let us take 3 + root 5 rational, then;

(3+ root 5) - 3 = a rational number

or, root 5 = a rational number

This contradicts the fact that root 5 is irrational. This contradiction arises by taking 3 + root 5 as rational.

Hence, 3 + root 5 is irrational number.

HOPE THIS COULD HELP!!!