A few days ago
irrational numbers?! HELP!?
are the irrational numbers closed under addition, subrtaction, multiplication, and division? If not, give examples. (recall that a set of numbers is closed under an operation if whenever that operation is performed on elements of the set the result is also an element of the set.)
Top 2 Answers
A few days ago
Favorite Answer
That’s an excellent question.
Addition – not sure, but guess no. look at sqrt 2 + sqrt 2 and you get 2sqrt2; my guess is that if you multiply an irrational number by 2, it is no longer irrational.
Subtraction – no sqrt2 – sqrt2 = 0
Multiplication – no sqrt2 * sqrt2 = 2
Division – no sqrt2 / sqrt2 = 1
Hope this helps!
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4 years ago
355/113 will recur with a era of length below 113. The definition wins right here and says that 355/113 is rational. the project is in assuming that 355/113, which superficially imitates pi partially of its decimal illustration, would not terminate. yet another difficulty is interior the actuality that the rationals and irrationals are disjoint gadgets via their definitions. i’m curious as to why you theory that 355/113 would not recur?
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