No
Explanation
Suppose you could. Let x be an irrational number.
Then take two rational numbers a,b and let ab=x
Since a and b are rational, so is their product. So if x=ab, we have written a rational number as a ratio, namely ab/1 which is a contradiction. SO we conclude we cannot.
A simpler answer might be just to say that rational numbers are closed under multiplication so it is impossible to get an irrational as the product of rationals.
no
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
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.
It will be irrational.
No. If it was a rational number, then it wouldn't be an irrational number.
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.
If you multiply a rational and an irrational number, the result will be irrational.
No. The number pi is irrational, and if you multiply an irrational number by a non-zero rational number (in this case, -2), you will get another irrational number.As a general guideline, most calculations that involve irrational numbers will again give you an irrational number.
No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.
yes pi*(1/pi) = 1