Q43 of 56 Page 17

Are there two irrational numbers whose sum and product both are rationals? Justify

Yes, there are a lot of cases where product, as well as sum of two irrational number, may be a rational number.

For e.g; = 0, which is a rational number


Hence, the sum of two irrational may or may not be a rational number


And , which is again a rational number


Hence, the product of two irrational numbers may or may not be rational.


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