Math Problem Statement

What is the simplified form of \( \sqrt{24} \)?

Solution

The image shows the square root of 24, represented as 24\sqrt{24}.

To simplify 24\sqrt{24}, we can break it down as follows: 24=4×6=4×6=26\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}

So, the simplified form of 24\sqrt{24} is 262\sqrt{6}.

Would you like further details on the steps, or do you have any questions?

Here are five related questions:

  1. How do you simplify the square root of other numbers like 50 or 75?
  2. What is the value of 6\sqrt{6} as a decimal approximation?
  3. How would you rationalize a denominator if the square root was in a fraction?
  4. How does the method of simplifying roots work for cube roots?
  5. Can square roots of negative numbers be simplified similarly?

Tip: Always check if the number inside a square root has any perfect square factors to simplify the expression efficiently.

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Math Problem Analysis

Mathematical Concepts

Simplifying Radicals
Square Roots

Formulas

\( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \)

Theorems

Radical Simplification

Suitable Grade Level

Grades 8-10