Math Problem Statement

Bentuk sederhana dari 2/√3 adalah….

Solution

The question asks for the simplified form of 23\frac{2}{\sqrt{3}}.

To simplify 23\frac{2}{\sqrt{3}}, follow these steps:

  1. Rationalize the denominator: Multiply both the numerator and the denominator by 3\sqrt{3} to eliminate the square root in the denominator. 23×33=233\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{3}

So, the simplified form of 23\frac{2}{\sqrt{3}} is 233\frac{2\sqrt{3}}{3}.

The correct answer is E: 233\frac{2}{3} \sqrt{3}.

Would you like further details on any step? Here are some related questions you might want to explore:

  1. How do you rationalize a denominator with a square root?
  2. What are other ways to simplify radical expressions?
  3. What happens when you multiply radicals with whole numbers?
  4. Why is it necessary to rationalize the denominator?
  5. Can you provide more examples of simplifying fractions with square roots?

Tip: Always multiply both the numerator and denominator by the same radical to keep the value of the fraction unchanged while rationalizing the denominator.

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Math Problem Analysis

Mathematical Concepts

Rationalization
Simplification of Radicals
Algebra

Formulas

Rationalizing denominators: a/√b = a√b/b

Theorems

Rationalizing Denominators

Suitable Grade Level

Grades 10-11