Well, darling, when you add two Irrational Numbers together, they can sometimes magically cancel each other out in such a way that the sum ends up being a rational number. It's like mixing oil and water and somehow getting a delicious vinaigrette. Math can be a wild ride, honey.
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That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
An irrational number plus an irrational number is NOT ALWAYS a rational number. For example, pi + pi = 2xpi, which is still irrational.
Yes
No. The sum of an irrational number and any other [real] number is irrational.
10+0.01 = 10.01 and it is a rational number
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
rational. if it can be expressed as a fraction, it is rational.