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if both have the same sign the answer is positive, if they have different signs the answer is negative.
Not necessarily. If it is the same radical number, then the signs cancel out. Radical 5 times radical 5 equals 5. But if they are different, then you multiply the numbers and leave them under the radical sign. Example: radical 5 * radical 6 = radical 30
The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.
Yes, there are two types if division measurement division and rational division they are both different in the smallest of ways.
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