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Mathematics

Write a pair of irrational numbers whose sum is irrational.

Rational Irrational Nos

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Answer

Let 3+2 and 2−3\sqrt{3} + 2 \text{ and } \sqrt{2} - 3 be two irrational numbers.

Sum of numbers

=3+2+2−3=3+2−1.= \sqrt{3} + 2 + \sqrt{2} - 3 \\[1em] = \sqrt{3} + \sqrt{2} - 1.

3+2−1\sqrt{3} + \sqrt{2} - 1 is an irrational number.

Hence, required pair = 3+2 and 2−3\sqrt{3} + 2 \text{ and } \sqrt{2} - 3.

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