Can you add two rational number to get irrational number? - Answers

Yes, we can get a rational number on the addition of two Irrational Numbers.e.g. Let us consider two irrational numbers: 3 + √2 and 4 - √2.Addition yields:(3 + √2)+ (4 - √2) = 3 + 4 = 7(a rational number).Another example is:Addition of √2 and -√2.√2+ (-√2) = 0(a rational number).Explanation of example 1:Irrational numbers in the form of of p + q are are the irrational numbers which are obtained on addition of two terms: one is rational(p) and another is irrational(q).And on taking the conjugate of p + q we get p - q, which is an another irrational number. And the addition of these two yields a rational number.