Math Problem Statement
Rationalize the expression \(\frac{4}{\sqrt{3}}\).
Solution
The problem shown in the image asks to rationalize the expression .
Steps to Rationalize:
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Multiply the numerator and denominator by :
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Simplify: Since , the expression becomes:
Thus, the rationalized form of is:
Would you like more details or have any questions?
Here are 5 related questions:
- How do you rationalize an expression with a cube root in the denominator?
- What is the significance of rationalizing the denominator in mathematics?
- How would you rationalize ?
- Can the numerator also contain a square root during rationalization?
- How would you handle the rationalization if the denominator had a binomial expression like ?
Tip: When rationalizing the denominator, multiplying by the conjugate is useful if there is a binomial expression like .
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Math Problem Analysis
Mathematical Concepts
Rationalization
Square Roots
Algebra
Formulas
Multiply by \(\frac{\sqrt{3}}{\sqrt{3}}\)
\((\sqrt{3})^2 = 3\)
Theorems
Rationalization of Denominators
Suitable Grade Level
Grades 9-10