Math Problem Statement
Rationalize the denominators of the given fractions: (a) 4/√3 (b) √(5/6)
Solution
The question on the sheet asks to rationalize the denominators of the given fractions.
(a) :
To rationalize the denominator:
- Multiply the numerator and denominator by (since , a rational number): Hence, the rationalized form of is:
For part (b), the question appears to involve , but let me know if you'd like me to clarify or solve it further.
Would you like a breakdown of part (b) or detailed steps for any part?
Related Questions:
- What is rationalizing a denominator, and why do we do it?
- How do we handle expressions where both numerator and denominator are irrational?
- Can be split into ? Why or why not?
- How is simplified when is negative or positive?
- What happens when the denominator involves a cube root instead of a square root?
Tip:
When rationalizing denominators, always multiply by the conjugate or a suitable root term to eliminate the square root.
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Math Problem Analysis
Mathematical Concepts
Rationalizing Denominators
Properties of Radicals
Formulas
a/√b = (a√b)/b (to rationalize the denominator)
√(a/b) = √a / √b (simplification of radicals)
Theorems
Properties of Radicals
Suitable Grade Level
Grades 9-10