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The expression to simplify is \( 5 \sqrt{28} \).

We can simplify \( \sqrt{28} \) by factoring 28 into its prime factors:
\[
28 = 4 \times 7
\]
\[
\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}
\]

Now substitute this back into the original expression:
\[
5 \sqrt{28} = 5 \times 2 \sqrt{7} = 10 \sqrt{7}
\]

Thus, the simplified form of \( 5 \sqrt{28} \) is:
\[
10 \sqrt{7}
\]

Would you like further clarification or details on any part of this process?

Here are 5 related questions you might find useful:
1. How would you simplify \( 3 \sqrt{50} \)?
2. What is the simplified form of \( 8 \sqrt{18} \)?
3. How do you rationalize a denominator involving square roots?
4. What are the prime factors of 56, and how would you simplify \( \sqrt{56} \)?
5. How can you simplify an expression like \( \sqrt{72} \times \sqrt{50} \)?

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

Learn how to fully simplify the expression 5√28. The problem involves breaking down the square root of 28 into its prime factors and simplifying the expression to 10√7. This guide is suitable for students in Grades 7-9.

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