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They are not. Sometimes they are irrational. Irrational Numbers cannot be expressed as a fraction.
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Every rational number is a real number?
Yes it is, but not every real number is a rational number
Is a rational number plus a rational number always a rational number?
Yes, it is.
Does there exist an irrational number such that its square root is rational?
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).
Is 867-5309 a real number?
6176
Can you add irrational number and a rational to get a rational number?
If an irrational number is added to, (or multiplied by) a rational number, the result will always be an irrational number.
