Math Problem Statement

The image shows an expression involving square roots and fractions. The equation seems to be: 2 * sqrt(3)/2 - 1/2

Solution

The image shows an expression involving square roots and fractions. The equation seems to be:

232122 \cdot \frac{\sqrt{3}}{2} - \frac{1}{2}

Let me simplify this for you step-by-step.

Step 1: Simplify 2322 \cdot \frac{\sqrt{3}}{2}

232=32 \cdot \frac{\sqrt{3}}{2} = \sqrt{3}

Step 2: Combine terms

Now subtract 12\frac{1}{2} from 3\sqrt{3}:

312\sqrt{3} - \frac{1}{2}

This is the simplified form of the expression.

Would you like to see further details or have any questions? Here are some related questions:

  1. How do you add or subtract irrational numbers like square roots?
  2. How can you convert the result into a decimal approximation?
  3. What are some common properties of square roots?
  4. How can you factor expressions involving square roots?
  5. What other operations can you perform with radicals?

Tip: When simplifying fractions with square roots, it helps to deal with the numerical part separately to keep things organized.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Fractions
Arithmetic Operations

Formulas

2 * sqrt(3)/2 simplifies to sqrt(3)
sqrt(3) - 1/2

Theorems

Properties of Square Roots

Suitable Grade Level

High School