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

Updated: 12/8/2022

Wiki User

14y ago

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.

Wiki User

14y ago

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