Math Problem Statement

2 root 3=

Solution

The expression 232 \sqrt{3} is already in its simplest form. It represents two times the square root of 3, which is an irrational number. If you'd like to approximate it as a decimal, you can calculate:

232×1.732=3.4642 \sqrt{3} \approx 2 \times 1.732 = 3.464

So, 233.4642 \sqrt{3} \approx 3.464 when expressed as a decimal.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the square root of 3?
  2. How can we simplify square roots?
  3. What are irrational numbers?
  4. Can you represent 232 \sqrt{3} geometrically?
  5. What are some other common square roots used in math?

Tip: When working with square roots, knowing common approximations (like 21.414\sqrt{2} \approx 1.414 and 52.236\sqrt{5} \approx 2.236) can be helpful in quick calculations.

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Math Problem Analysis

Mathematical Concepts

Radicals
Square Roots
Irrational Numbers

Formulas

2√3 ≈ 2 × √3 ≈ 3.464

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 6-8