Math Problem Statement

simplify the square root of 24

Solution

The square root of 24 can be simplified by factoring out any perfect squares. Let's go through the steps:

  1. Factor 24: 24=4×624 = 4 \times 6

  2. Since 44 is a perfect square, we can take the square root of it: 24=4×6=4×6=26\sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}

Thus, the simplified form of 24\sqrt{24} is: 26\boxed{2\sqrt{6}}

Would you like a further breakdown of these steps, or do you have any questions?

Here are some related questions:

  1. How do you simplify the square root of 48?
  2. Can you simplify the square root of 50?
  3. What are the steps to rationalize 16\frac{1}{\sqrt{6}}?
  4. How do you add 26+362\sqrt{6} + 3\sqrt{6}?
  5. What is the cube root of 24 simplified?

Tip: Always look for perfect square factors when simplifying square roots.

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Math Problem Analysis

Mathematical Concepts

Square Roots
Simplifying Radicals
Factoring

Formulas

√(a * b) = √a * √b

Theorems

Perfect Square Factor Theorem

Suitable Grade Level

Grades 6-8