Math Problem Statement

correct form for square root 18 divided by 3

Solution

To express 18\sqrt{18} divided by 3 in its simplest form, follow these steps:

  1. Simplify the square root: 18=9×2=9×2=32\sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}

  2. Divide by 3: 323=2\frac{3\sqrt{2}}{3} = \sqrt{2}

So, the simplified form of 18÷3\sqrt{18} \div 3 is 2\sqrt{2}.

Would you like more details or have any questions?

Here are five related questions to consider:

  1. How do you simplify 50\sqrt{50}?
  2. What is the value of 72\sqrt{72} divided by 6?
  3. How do you rationalize the denominator of 53\frac{5}{\sqrt{3}}?
  4. What is the square root of a product, such as 45×2\sqrt{45 \times 2}?
  5. How do you simplify 75\sqrt{75} divided by 5?

Tip: Always try to simplify the square root before performing any further operations.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Simplification
Division of Square Roots

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12