Can you multiply an irrational number and a rational number to get a rational number?
Yes, but only if the rational number is 0.
When you multiply an irrational number by a rational number will the answer always be irrational rational or both?
It will be irrational.
The product of an irrational number and a rational number, both nonzero, is always irrational
If you multiply a rational and an irrational number, the result will be irrational.
Irrational. If you multiply a rational number by an irrational number, you will always get an irrational number (except if the rational number happens to be zero).
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
No irrational number can turn into a rational number by itself: you have to do something to it. If you multiply any irrational number by 0, the answer is 0, which is rational. So, given the correct procedure, every irrational number can be turned into a rational number.
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
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
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Yes, that's quite simple. It's obvious it has to be that way, because 1(rational number)*number(even irrational) has to be that number itself.
Multiply it by 0. The result is 0, which is rational. That is the only way that will work with all irrational numbers.
The square root of 2, for example, is irrational. sqrt(2)*sqrt(2) = 2 which is rational.
Well, (pi) x (1/pi) = 1 .
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.
No, they are complementary sets. No rational number is irrational and no irrational number is rational. Irrational means not rational.
Such a product is always irrational - unless the rational number happens to be zero.
yes pi*(1/pi) = 1
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.
rational * irrational = irrational.
Yes. For example, if you multiply the square root of 2 (an irrational number) by itself, the answer is 2 (a rational number). The golden ratio (Phi, approx. 1.618) multiplied by (1/Phi) (both irrational numbers) equals 1 (rational). However, this is not necessarily true for all irrational numbers.
No. A rational times an irrational is never rational. It is always irrational.
The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
Can be irrational or rational.1 [rational] * sqrt(2) [irrational] = sqrt(2) [irrational] 0 [rational] * sqrt(2) [irrational] = 0 [rational]
No rational number is an irrational number.
Is three an irrational number rational number both rational and irrational or neither rational or irrational?
Integers are rational. In the set of real numbers, every number is either rational or irrational; a number can't be both or neither.
If you multiply two irrational numbers, the result can be rational, or irrational.
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.
The sum of a rational and irrational number must be an irrational number.
The sum of the three can be rational or irrational.
Actually the product of a nonzero rational number and another rational number will always be rational. The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
No number is irrational and rational.
Is the number below rational irrational both rational and irrational or neither rational nor irrational?
If it can't be expressed as a fraction then it is an irrational number
It is always irrational.
As a general rule you don't; you do if you choose them carefully.
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.
No. In fact the sum of a rational and an irrational MUST be irrational.
No, but you can add an irrational number and a rational number to give an irrational. For example, 1 + pi is irrational.
It is rational. A number cannot be both rational and irrational.
No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.
Any terminating decimal is rational. If you assume that the same two digits continue repeating ad infinitum, then it's rational as well.
it is a rational number but 4.121314..... is an irrational no
If a number can be expressed as a fraction then it is rational if not then it is irrational.
No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.
It is always irrational.
The number 3 is a rational number (as is any integer).
Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?
Any, and every, irrational number will do.