Yes, as long as the two are not mutual resiprocals.
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The sum or the difference between two irrational numbers could either be rational or irrational, however, it should be a real number.
No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.
The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.
1 + pi, 1 - pi. Their sum is 2.
There are no two whole numbers which when squared sum to 62. There are infinitely may pairs of irrational numbers that when squared sum to 62, eg 1 and √61, 2 and √58