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The product of two Irrational Numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.

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Q: Does an irrational number multiplied by an irrational number equal an irrational number?
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Related questions

Is an irrational number plus an irrational number equal a rational or an irrational number?

An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.


Can a rational number be multiplied by an irrational number and equal a rational number?

Only if the rational number is 0.


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.


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.


Which number produces an irrational number when multiplied by 0.4?

Any irrational number will do.


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.


What is a rational number multiplied by an irrational number equal?

It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.


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.


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

rational * irrational = irrational.


What produces an irrational number when multiplied by 0.5?

Any irrational number does.


Why is it not possible for a whole number other than 0 multiplied by an irrational number to be equal a rational number?

It certainly is possible. For example, the square root of 2 times the square root of two is equal to two. Another example: pi multiplied by (1/pi) is equal to 1.Ans. 2No, it is not possible. The two 'counterexamples' above involve multiplying the irrational number by another irrational number. But, the question specifies multiplying the irrational number by a whole number other than zero. As long as you obey that restriction you are stuck with an irrational result.