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