Let's simplify $\sqrt{28} \times \sqrt{3}$.

Step 1: Use the Product Property of Square Roots

$\sqrt{a} \times \sqrt{b} = \sqrt{a \times b}$ Applying this rule: $\sqrt{28} \times \sqrt{3} = \sqrt{28 \times 3} = \sqrt{84}$

Step 2: Simplify $\sqrt{84}$

First, factor 84: $84 = 4 \times 21$ Since $\sqrt{4} = 2$, we can rewrite: $\sqrt{84} = \sqrt{4 \times 21} = \sqrt{4} \times \sqrt{21} = 2\sqrt{21}$

Final Answer:

$2\sqrt{21}$

So the correct choice from the given options is $2\sqrt{21}$.

Would you like further clarification or details on any step?

Related Questions:

1. How do you simplify square roots with non-perfect squares?
2. What is the general rule for multiplying square roots?
3. Can $\sqrt{21}$ be simplified further?
4. How do you rationalize a denominator containing a square root?
5. What is the difference between simplifying and approximating square roots?

Math Tip:

When simplifying square roots, always look for the largest perfect square factor to simplify the expression efficiently.