https://file.aiquickdraw.com/mathbot/file/1726228472862iw8rj26m.jpg

The image contains an expression that seems to involve square roots. Here's what I can see from the image:

\[
\sqrt{48} + \sqrt{108} - \sqrt{27}
\]

Let me simplify this expression step by step:

### 1. Simplifying the square roots:
\[
\sqrt{48} = \sqrt{16 \times 3} = 4\sqrt{3}
\]
\[
\sqrt{108} = \sqrt{36 \times 3} = 6\sqrt{3}
\]
\[
\sqrt{27} = \sqrt{9 \times 3} = 3\sqrt{3}
\]

### 2. Substituting the simplified values:
\[
4\sqrt{3} + 6\sqrt{3} - 3\sqrt{3}
\]

### 3. Combining the terms:
\[
(4 + 6 - 3)\sqrt{3} = 7\sqrt{3}
\]

So, the simplified form of the expression is:
\[
7\sqrt{3}
\]

Would you like further details or have any questions about this process? 

Here are some related questions you could explore:
1. How can you simplify other expressions with square roots?
2. What are the properties of square roots in simplifying expressions?
3. Can you solve for variables involving square roots?
4. How does the distributive property apply when simplifying roots?
5. How can you rationalize the denominator when square roots are involved in fractions?

**Tip:** Always factor out perfect squares when simplifying square roots to make the process easier.

Simplify the expression √48 + √108 - √27.

Learn how to simplify the square root expression √48 + √108 - √27 using properties of square roots. This example walks through factoring and combining terms for a final solution of 7√3. Suitable for students in Grades 7-9.

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