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Is a rational number is a rational expression?
Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.
Is 2 thirds a rational number?
Yes because any number that can be expressed as a fraction is a rational number
How is the sum of a rational and irrational number irrational?
This can easily be proved by contradiction. Without loss of generality, I will take specific numbers as an example. The proof can easily be extended to any rational + irrational number. Assumption: 1 plus the square root of 2 is rational. (It is a well-known fact that the square root of 2 is irrational. No need to prove it here; you can use any other irrational number will do.) This rational sum can be written as p / q, where "p" and "q" are whole numbers (this is basically the definition of a "rational number"). Then, the square root of 2, which is equal to the sum minus 1, is: p / q - 1 = p / q - q / q = (p - q) / q Since the difference of two whole numbers is a whole number, this makes the square root of 2 rational, which doesn't make sense.
Find two irrational numbers whose sum is a rational number?
(pi - 1) and (2 - pi) Sum = (pi - 1 + 2 - pi) = 1
Is 18 out of 2 rational?
Yes, any number that can be expressed as a fraction is rational. Since 18 out of 2 is the same as 18/2, it is rational.
