https://r2.erweima.ai/mathbot/image/17264311713996ab7nbt7.jpg

I encountered an issue extracting text from the image in Spanish, but I can analyze the image directly. Let's break down the operation step by step:

The expression provided is:
\[
\sqrt{45} + \sqrt{20} - \sqrt{32} + \square
\]
### Step 1: Simplify the square roots
- \(\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}\)
- \(\sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}\)
- \(\sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2}\)

### Step 2: Substitute into the original expression
\[
3\sqrt{5} + 2\sqrt{5} - 4\sqrt{2} + \square
\]
This simplifies to:
\[
5\sqrt{5} - 4\sqrt{2} + \square
\]
The final result will depend on the value of the missing term represented by the square symbol.

Let's check if any of the options match this form or contain additional steps. Would you like more details or to analyze the options given?

Calcule el resultado de la siguiente operación: √45 + √20 − √32 + □

Learn how to simplify the expression √45 + √20 − √32 with step-by-step guidance. This example explores square root simplification and algebraic manipulation, suitable for students in Grades 9-11.

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