Question

If r is rational and s is irrational ,then r+s and r-s are irrational numbers ,and r-s and r upon s are irrational numbers , r is not equal to 0.
define step by step.​

Answer 1

Step-by-step explanation:

You can easily prove that adding two rational numbers gives you another rational number. If R is a rational number, so is -R. So, that also is true for subtraction. The formal way to say this is that the rational numbers are closed under addition and subtraction.

If R+S and R are rational numbers, then (R+S) - R also will have to be a rational number, which means that S would have to be a rational number. Since S is not a rational number, then the initial premise that “R+S and R are rational numbers” is not true. So, if R is a rational number, then R+S cannot be a rational number when S is an irrational number. (Note that if R is not a rational number, then R+S can be rational or irrational.)

Answer 2

Step-by-step explanation:

if r is rational and else in rational than r + s r r minus as irrational number and rs and are irrational number are not equal to zero