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Yes.
Take any rational number p.
Let a = any number that is not a power of 10, so that log(a) is irrational.
and let b = p/log(a).
log(a) is irrational so 1/log(a) must be irrational. That is, both log(a) and log(b) are irrational.
But log(a)*log(b) = log(a)*[p/log(a)] = p which is rational.
In the above case all logs are to base 10, but any other base can be used.
What else can I help you with?
When you multiply two irrational numbers the result is called what?
If you multiply two irrational numbers, the result can be rational, or irrational.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Is 15pie rational or irrational?
The expression (15\pi) is irrational. This is because (\pi) itself is an irrational number, meaning it cannot be expressed as a fraction of two integers. When you multiply an irrational number by a non-zero rational number (like 15), the result remains irrational. Therefore, (15\pi) is irrational.
What The product of a non zero rational and an irrational number is irrational?
The product of a non-zero rational number and an irrational number is irrational because a rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. When you multiply a non-zero rational number by an irrational number, the result cannot be simplified to a fraction, as it retains the non-repeating, non-terminating nature of the irrational number. Therefore, the product remains irrational.
When you multiply two irrational numbers the result is called what?
If you multiply two irrational numbers, the result can be rational, or irrational.
Is 3 times pi over two rational?
No; since pi is irrational if you multiply it by a rational number it is still irrational
Is the product of two irrational numbers always an irrational number?
No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.
Why is it that when you multiply two irrational numbers you get a rational number?
As a general rule you don't; you do if you choose them carefully.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
Are rational numbers is an irrational numbers?
yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?
The square root of 2 times the square root of 2 is rational.
Is 15pie rational or irrational?
The expression (15\pi) is irrational. This is because (\pi) itself is an irrational number, meaning it cannot be expressed as a fraction of two integers. When you multiply an irrational number by a non-zero rational number (like 15), the result remains irrational. Therefore, (15\pi) is irrational.
What The product of a non zero rational and an irrational number is irrational?
The product of a non-zero rational number and an irrational number is irrational because a rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction. When you multiply a non-zero rational number by an irrational number, the result cannot be simplified to a fraction, as it retains the non-repeating, non-terminating nature of the irrational number. Therefore, the product remains irrational.
What product is true about the irrational and rational numbers?
The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.
How the difference of two rational numbers can be rational and irrational?
There is no number which can be rational and irrational so there is no point in asking "how".
Sum of two irrational numbers?
Can be rational or irrational.
