https://file.aiquickdraw.com/mathbot/file/17267604275392ewuproi.jpg

The expression in the image is:

\[
\frac{4 \sqrt{45}}{-6 \sqrt{20}}
\]

We can simplify this step by step.

### Step 1: Simplify the square roots.
- \(\sqrt{45} = \sqrt{9 \times 5} = 3\sqrt{5}\)
- \(\sqrt{20} = \sqrt{4 \times 5} = 2\sqrt{5}\)

Thus, the expression becomes:

\[
\frac{4 \times 3\sqrt{5}}{-6 \times 2\sqrt{5}} = \frac{12\sqrt{5}}{-12\sqrt{5}}
\]

### Step 2: Cancel common terms.
The \(\sqrt{5}\) terms in both the numerator and denominator cancel out:

\[
\frac{12\sqrt{5}}{-12\sqrt{5

This step-by-step guide simplifies the radical expression 4√45 / -6√20. Learn how to break down square roots and simplify fractions, including canceling common terms. Suitable for Grades 8-10.

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