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Earn +20 ptsQ: Is the quotient of two irrational numbers always irrational?
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What is a number that cannot be expressed as a quotient of integers?
A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Is it true that if you add two irrational numbers you will always get a rational number?
yes
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
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