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Subjects>Math>Algebra

Can you multiply two rational numbers to get an irrational number?

Anonymous

∙ 8y ago

Updated: 4/28/2022

Yes, for example, square root of 2 x square root of 2 = 2.

* * * * *

No, the product of two rational numbers must always be rational.
No.

Proof :

If you take rational number a/b and multiply by rational c/d you get ac/bd.

Since ac and bd are each integral, the product is rational.

Wiki User

∙ 8y ago

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Q: Can you multiply two rational numbers to get an irrational number?

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Continue Learning about Algebra

How do you turn an irrational number in to a rational number?

Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power

Is -6.3 rational or irrational?

-6.3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Is the number -6.7 a rational or irrational number?

Rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Are there more rational numbers than irrational numbers true or false?

In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.

Is negative pi rational or irrational?

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

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