Finding Inverse of Fractions & Intersections

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Homework Help Overview

The discussion revolves around finding the inverse of fractions, specifically addressing the expression 1/(2-sqrt(3)). Additionally, participants explore the intersection of set complements and unions in set theory.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the definition of "inverse" in the context of fractions, considering whether it refers to the reciprocal or another type of inverse. There is also inquiry into the meaning of the expression 1/2-(sqrt)3 and its interpretation. For the set theory question, participants discuss the roles of A, A', and U, and the implications of set operations.

Discussion Status

The discussion is active, with participants seeking clarification on terminology and definitions. Some have provided insights into the mathematical concepts involved, while others are still exploring the implications of the questions posed. There is no explicit consensus on the definitions or approaches yet.

Contextual Notes

Participants have noted the importance of defining terms clearly, particularly regarding what is meant by "inverse." There is also a reminder that the forum does not provide direct answers to homework questions.

Aladin
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Q.1: How can we find the inverse of a fraction?
e.g . 1/2-(sqrt)3 .

Q.2: A' intersection (A union U).
what will be the answer?
 
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Aladin said:
Q.1: How can we find the inverse of a fraction?
e.g . 1/2-(sqrt)3 .
What do you mean by the inverse of a fraction? Do you mean the reciprocal? If so, turn this into an improper fraction and take the reciprocal of that.

Q.2: A' intersection (A union U).
what will be the answer?
What do you think? What are A, A' and U?
 
Aladin said:
Q.1: How can we find the inverse of a fraction?
e.g . 1/2-(sqrt)3 .

Q.2: A' intersection (A union U).
what will be the answer?
Q.1: What kind of inverse are you asking? Arithmetic inverse (additive or multiplicative, some other arithmetic kind); or function inverse (which requires a function, not a constant value only)?

Q.2: WHAT?
 
To add to the questions, does "1/2-(sqrt)3" mean \frac{1}{2}-\sqrt{3} or \frac{1}{2-\sqrt{3}}.
If the former, and if by "inverse" you mean reciprocal, then \frac{1}{2}-\sqrt{3}= \frac{1-2\sqrt{3}}{2} and its reciprocal is \frac{2}{1-2\sqrt{3}}. You can "pretty" that up by rationalizing the denominator.

For the second problem, I'm going to assume that "U" is the universal set and A' is the complement of A.

What is the union of U with any set? What is the intersection of U with any set?
 
really really sorry Halsof actualy it is
1/(2-sqrt3). I will be thankful to you if you find the inverse of this.
 

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Aladin said:
really really sorry Halsof actualy it is
1/(2-sqrt3). I will be thankful to you if you find the inverse of this.

Firstly, you should note that we do not give out answers to homework/coursework type questions here. Secondly, you still haven't defined "inverse." Is it the reciprocal you want? If so, what is the reciprocal of a fraction of the form a/(b+c)?
 
I will echo- what do you mean by "inverse"? The multiplicative inverse (reciprocal)? If so the problem is pretty close to trivial.
 

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