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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 the product of two rational number irrational or rational?
It is always rational.
Are the sum of two rational numbers rational or irrational?
They are always rational.
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.
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.
Is the product of two rational number irrational or rational?
It is always rational.
Are the sum of two rational numbers rational or irrational?
They are always rational.
