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Let's break down the problem:

We are asked whether the expression \( 3\sqrt{5} \) can be written as \( \sqrt{45} \).

### Step 1: Simplify \( \sqrt{45} \)
First, let's simplify \( \sqrt{45} \):
\[
\sqrt{45} = \sqrt{9 \times 5} = \sqrt{9} \times \sqrt{5} = 3\sqrt{5}
\]

### Step 2: Compare the expressions
We see that \( \sqrt{45} = 3\sqrt{5} \), so the two expressions are indeed equal.

### Conclusion:
The statement is **true**. The expression \( 3\sqrt{5} \) can be written as \( \sqrt{45} \).

Would you like more details or have any questions?

Here are five related questions to consider:
1. What is the general method for simplifying square roots?
2. How would you simplify \( \sqrt{72} \)?
3. Can \( 2\sqrt{5} \) be written as a single square root?
4. How can we verify the equality of two square root expressions?
5. What are the properties of square roots that allow us to simplify them?

**Tip:** When simplifying square roots, look for perfect squares that can be factored out to make the expression easier to handle.

¿La siguiente expresión 3√5 se puede escribir como √45?

Learn how to simplify square root expressions like 3√5 and determine whether they can be rewritten as √45. This problem explores the properties of square roots and algebraic simplifications. Suitable for students in Grades 7-9.

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