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yes, unless you were to simplify (example: 3 times 3/2 = 6/2 = 3)

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βˆ™ 2011-04-05 22:57:00
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is three times an irrational number always an irrational number?
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Related questions

Is the product of a rational number and irrational number always rational?

No.A rational times an irrational is never rational. It is always irrational.


Is an irrational number times an irrational number always irrational?

The square root of 2 is irrational, yet the product of it with itself is 2. So the answer is no.


Does a rational number times an irrational number equal a rational number?

No. If the rational number is not zero, then such a product is irrational.


What does a rational number times an irrational number equal?

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.


Does an irrational number times an irrational number equal an irrational number?

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.


Why the product of nonzero rational number and a rational number is an irrational?

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)


Is the product of a rational number and an irrational number an irrational?

Not necessarily. 0 times any irrational number is 0 - which is rational.


Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?

The square root of 2 times the square root of 2 is rational.


What is the result of an irrational number times an rational number?

Unless the rational number is zero, the answer is irrational.


Is there a proof to show that if you multiply an irrational number times an irrational number you get a rational number?

There cannot be a proof since your assertion is not necessarily true. sqrt(2)*sqrt(3) = sqrt(6). All three are irrational numbers.


Which number produces an irrational number when multiplied by?

At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.


Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)

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