Math Problem Statement

4184\sqrt{18}

Solution

We can simplify 4184\sqrt{18} step by step:

  1. Start by simplifying the square root of 18: 18=9×2=9×2=32\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}

  2. Now, multiply by 4: 418=4×32=1224\sqrt{18} = 4 \times 3\sqrt{2} = 12\sqrt{2}

So, the simplified expression is 12212\sqrt{2}.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you simplify 5505\sqrt{50}?
  2. What is the simplified form of 3323\sqrt{32}?
  3. Can you simplify 6726\sqrt{72}?
  4. How do you simplify 7207\sqrt{20}?
  5. What is the process to simplify 2452\sqrt{45}?

Tip: When simplifying square roots, look for perfect square factors (like 4, 9, 16, etc.) to factor out.

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Math Problem Analysis

Mathematical Concepts

Simplification of Radicals
Square Roots

Formulas

√(a × b) = √a × √b

Theorems

Product Property of Square Roots

Suitable Grade Level

Grades 6-8