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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. 2
No, 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.
What else can I help you with?
Is it possible for the product of irrational number and a rational number to be a rational number?
Yes, it is possible only if an irrational number is multiplied with 0.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Can you add irrational number and a rational to get a rational number?
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Is an irrational number multiplied by a rational number irrational?
Yes, unless the rational number is 0.
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.
Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
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.
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.
Irrational number when multiplied by 0.4?
If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.
Why is 10 pi irrational?
A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.
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
When is it possible for the product of a rational and an irrational number to result in a rational value?
When the rational number is 0.
