Simplify the following expression. If the expression cannot be​ simplified, so state.

StartRoot 20 EndRoot20

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Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

StartRoot 20 EndRoot20equals=enter your response here 

​(Type an exact​ answer, using radicals as​ needed.)

B.

The expression cannot be simplified.

Let's simplify the expression \(\sqrt{20}\).

To do this, we need to find the prime factorization of 20 and simplify the square root.

1. **Prime factorization of 20:**
   \[
   20 = 2^2 \times 5
   \]

2. **Simplify the square root:**
   \[
   \sqrt{20} = \sqrt{2^2 \times 5}
   \]
   We can take the square root of \(2^2\) out of the radical:
   \[
   \sqrt{20} = 2\sqrt{5}
   \]

So, the simplified form of \(\sqrt{20}\) is \(2\sqrt{5}\).

### Final Answer:
Select choice **A**:
\[
\sqrt{20} = 2\sqrt{5}
\]

Would you like to go over any part of this simplification process, or do you have any other questions?

Here are 5 related questions to expand your understanding:

1. How would you simplify \(\sqrt{50}\)?
2. What is the simplified form of \(\sqrt{72}\)?
3. Can every square root be simplified? Why or why not?
4. How do you simplify expressions involving cube roots?
5. What are the steps to rationalize a denominator involving a square root?

**Tip:** Always look for perfect squares when simplifying square roots—they help in reducing the expression to its simplest form.

Learn how to simplify the square root of 20 (sqrt(20)) step-by-step. This problem covers prime factorization, simplification of square roots, and provides a detailed explanation with examples. Suitable for students in Grades 7-9.

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