Math Problem Statement

simplify 4/square root of 3

Solution

To simplify 43\frac{4}{\sqrt{3}}, follow these steps:

  1. Rationalize the denominator by multiplying both numerator and denominator by 3\sqrt{3}: 4333=433.\frac{4}{\sqrt{3}} \cdot \frac{\sqrt{3}}{\sqrt{3}} = \frac{4\sqrt{3}}{3}.

  2. The simplified form is: 433.\frac{4\sqrt{3}}{3}.

Let me know if you have any questions!

Related Questions:

  1. How do you simplify 52\frac{5}{\sqrt{2}}?
  2. What does rationalizing a denominator mean?
  3. Why do we multiply by 3/3\sqrt{3}/\sqrt{3} to simplify?
  4. How do you handle more complex fractions with square roots?
  5. What are the practical applications of rationalizing denominators?

Tip: Rationalizing the denominator is crucial when simplifying expressions for easier interpretation in further calculations.

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Math Problem Analysis

Mathematical Concepts

Simplification of fractions
Rationalizing denominators
Square roots

Formulas

a/√b × √b/√b = a√b/b

Theorems

Rationalization of denominators

Suitable Grade Level

Grades 6-8