The expression \( \frac{112}{\sqrt{3}} \) can be simplified by rationalizing the denominator. This involves eliminating the square root from the denominator.

### Step-by-step simplification:
1. Multiply both the numerator and the denominator by \( \sqrt{3} \) to remove the square root in the denominator:
   \[
   \frac{112}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{112 \times \sqrt{3}}{3}
   \]
   
2. Multiply the numerator:
   \[
   \frac{112\sqrt{3}}{3}
   \]

Thus, the simplified form of the expression is:
\[
\frac{112\sqrt{3}}{3}
\]

Would you like further details on rationalization or another example?

Here are 5 related questions you can explore:
1. How do you rationalize a denominator with a cube root?
2. What is the numerical value of \( \frac{112}{\sqrt{3}} \)?
3. How do you simplify expressions involving higher roots?
4. What are the steps to rationalize a denominator with two terms (binomials)?
5. What are the properties of square roots that help in simplifying expressions?

**Tip**: Rationalizing a denominator makes an expression easier to interpret and compute, especially in manual calculations.

Learn how to simplify the expression 112/√3 by rationalizing the denominator. This step-by-step guide covers key concepts like rationalizing, simplifying radicals, and using properties of square roots. Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation