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Earn +20 ptsQ: Are squares of irrational numbers always rational?
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Are some rational numbers are irrational numbers?
Numbers cannot be rational and irrational at the same time.
Can you add a rational number and an irrational number and get a rational number?
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
Can you multiply an irrational number by a rational number and the answer is rational?
The product of an irrational number and a rational number, both nonzero, is always irrational
Is the product of a rational number and an irrational number always irrational?
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
Is the sum of a rational number and an irrational number always irrational?
Yes, always.
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