Simplify the square root. Assume all variables represent positive numbers. If the square root is already simplified, so state.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Type an exact answer, using radicals as needed.)
B. The expression is already simplified.

Ask by Nichols Barnett. in the United States

Jan 24,2025

Question

Simplify the square root. Assume all variables represent positive numbers. If the square root is already simplified, so state.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. (Type an exact answer, using radicals as needed.)
B. The expression is already simplified.

Ask by Nichols Barnett. in the United States

Jan 24,2025

UpStudy AI · Accepted Answer

To simplify $$ \sqrt{24} $$, follow these steps:

1. **Factor the Number Inside the Square Root:**
   $$
   24 = 4 \times 6
   $$
   
2. **Identify the Largest Perfect Square Factor:**
   $$
   4 \text{ is a perfect square since } \sqrt{4} = 2.
   $$
   
3. **Simplify the Square Root:**
   $$
   \sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6} = 2\sqrt{6}
   $$

Since $$ 2\sqrt{6} $$ is the simplest form, the correct choice is:

**A. $$ \sqrt{24} = 2\sqrt{6} $$**
$$ \sqrt{24} = 2\sqrt{6} $$

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