https://file.aiquickdraw.com/mathbot/file/1727626577267hb0vsynk.jpg

The expression shown in the image is:

\[
\sqrt{96} \times 4 \times \sqrt{54}
\]

Let's break down and simplify this step by step.

### Step 1: Simplify the square roots
- \( \sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4 \sqrt{6} \)
- \( \sqrt{54} = \sqrt{9 \times 6} = \sqrt{9} \times \sqrt{6} = 3 \sqrt{6} \)

### Step 2: Substitute the simplified square roots
Now we have:
\[
(4 \sqrt{6}) \times 4 \times (3 \sqrt{6})
\]

### Step 3: Combine terms
First, multiply the numerical terms:
\[
4 \times 4 \times 3 = 48
\]

Then multiply the square roots:
\[
\sqrt{6} \times \sqrt{6} = 6
\]

### Step 4: Multiply everything together
\[
48 \times 6 = 288
\]

So, the simplified result of the expression is:
\[
288
\]

Would you like further clarification, or do you have any additional questions?

### Related Questions:
1. How do you simplify expressions involving square roots in general?
2. What is the method to factor numbers under square roots?
3. Can all square roots be simplified in this way?
4. How do you multiply expressions that include square roots and constants?
5. What are some common mistakes to avoid when simplifying square roots?

### Tip:
Always try to factor the numbers inside the square root into perfect squares to simplify them efficiently.

Learn how to simplify the expression √96 × 4 × √54 with a detailed step-by-step solution. This problem involves simplifying square roots by factorizing and applying the properties of radicals. Suitable for high school students in Grades 9-12.

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