https://file.aiquickdraw.com/mathbot/file/1726083200594gmakv0tq.jpg

The expression from the image is:

\[
\sqrt{28} \times \sqrt{3}
\]

### Step 1: Use the product property of square roots.
The product of two square roots can be combined under one square root:

\[
\sqrt{28} \times \sqrt{3} = \sqrt{28 \times 3} = \sqrt{84}
\]

### Step 2: Simplify \(\sqrt{84}\).
We look for perfect square factors of 84. The prime factorization of 84 is:

\[
84 = 2^2 \times 3 \times 7
\]

The perfect square factor is \(2^2 = 4\), so we can simplify:

\[
\sqrt{84} = \sqrt{4 \times 21} = \sqrt{4} \times \sqrt{21} = 2\sqrt{21}
\]

### Final answer:
\[
\sqrt{28} \times \sqrt{3} = 2\sqrt{21}
\]

Would you like more details on any part of this process?

Here are 5 related questions:
1. How do you simplify square roots with large numbers?
2. What is the prime factorization method, and how does it work?
3. Can all square roots be simplified to a simpler form?
4. What is the product property of square roots?
5. How do you handle square roots in more complex algebraic expressions?

**Tip:** Always check for perfect square factors to simplify square roots easily.

Learn how to simplify √28 * √3 step by step. This problem uses the product property of square roots and prime factorization to simplify the expression to 2√21. Suitable for students in Grades 8-10.

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