Math Problem Statement
5 divided by √3 - √5
Solution
To simplify the expression , we need to rationalize the denominator. Here are the steps:
- Multiply the numerator and the denominator by the conjugate of the denominator: The conjugate of is .
- Simplify the denominator using the difference of squares:
- Combine the results:
So, the simplified form of is:
Would you like a detailed explanation of any step? Here are 5 related questions you might find useful:
- How do you rationalize the denominator of a fraction?
- What is the difference of squares and how is it used in simplifying expressions?
- Can you show examples of rationalizing different types of denominators?
- How do you multiply and simplify expressions involving square roots?
- What are conjugates and why are they used in rationalizing denominators?
Tip: When rationalizing the denominator, always multiply by the conjugate of the denominator to simplify the expression effectively.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Rationalization of Denominators
Conjugates
Difference of Squares
Formulas
-
Theorems
-
Suitable Grade Level
Grades 10-12