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If three different irrational numbers are multiplied is the result an irrational number?

Updated: 12/8/2022

Wiki User

∙ 15y ago

Best Answer

Not necessarily. The cube roots of 4, 6 and 9 are all irrational (and different). But their product is 6, not just rational, but an integer.

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∙ 15y ago

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Q: If three different irrational numbers are multiplied is the result an irrational number?

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Continue Learning about Math & Arithmetic

What produces an irrational number when multiplied by 0.5?

Any irrational number does.

Is 0.5 multiplied by 1 divided by 3 irrational?

You can't get an irrational number by applying a finite number of additions, subtractions, multiplications and divisions to a set of rational numbers.

Is an irrational number multiplied by a rational number irrational?

Yes, unless the rational number is 0.

What is the different type of real number?

The real numbers are divided into rational numbers and irrational numbers.

What happen when 8 is multiplied by an irrational number?

The product will also be irrational.

Related questions

What numbers will produce an irrational number when multiplied by 0.5?

Every irrational number, when multiplied by 0.5 will produce an irrational number.

What numbers will produce an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.

Which numbers will produce an irrational number when multiplied by 0.5?

Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.

Which of the following numbers will produce an irrational number when multiple by 0.5?

Any number which is irrational will produce an irrational number when multiplied by 0.5

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.

What number produces an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.

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

What will produce an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.

Which of the number will produce an irrational number when multiplied by 0.5?

Any irrational number, when multiplied by 0.5 will give an irrational number.

Which number produces an irrational number when multiplied by 0.4?

Any irrational number will do.

If two different irrational numbers are multiplied the result is an irrational number?

Sometimes yes, sometimes no. sqrt(2) x sqrt(8) = 4 rational sqrt(2) x sqrt(3) = sqrt(6) irrational

Whether a rational number multiplied by an irrational number gives an irrational number?

rational * irrational = irrational.

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