Math Problem Statement

Simplify the expression 4√24.

Solution

The expression in the image is 4244 \sqrt{24}.

To simplify this:

  1. Break down the square root into its factors: 24=46=46=26.\sqrt{24} = \sqrt{4 \cdot 6} = \sqrt{4} \cdot \sqrt{6} = 2\sqrt{6}.

  2. Multiply this by 4: 424=426=86.4 \sqrt{24} = 4 \cdot 2\sqrt{6} = 8\sqrt{6}.

So, the simplified form of 4244 \sqrt{24} is: 86.8\sqrt{6}.

Would you like further explanations or examples involving similar square root problems?

Here are 5 related questions for practice:

  1. Simplify 5505\sqrt{50}.
  2. Simplify 3723\sqrt{72}.
  3. Simplify 2182\sqrt{18}.
  4. Simplify 6486\sqrt{48}.
  5. Solve 436+294\sqrt{36} + 2\sqrt{9}.

Tip: When simplifying square roots, always look for the largest perfect square factor!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Simplifying Square Roots
Multiplication of Radicals

Formulas

√(a × b) = √a × √b
Simplification of perfect squares √(n^2) = n

Theorems

Properties of Square Roots

Suitable Grade Level

Grades 8-10