https://file.aiquickdraw.com/mathbot/file/17298419866418meq753b.jpg

The expression shown in the image is:

\[
\sqrt{175} + 4\sqrt{7} - \sqrt{63}
\]

Let's simplify this step by step:

1. **Simplifying \(\sqrt{175}\):**
   \[
   \sqrt{175} = \sqrt{25 \times 7} = \sqrt{25} \times \sqrt{7} = 5\sqrt{7}
   \]

2. **Simplifying \(\sqrt{63}\):**
   \[
   \sqrt{63} = \sqrt{9 \times 7} = \sqrt{9} \times \sqrt{7} = 3\sqrt{7}
   \]

Now substitute these into the expression:

\[
5\sqrt{7} + 4\sqrt{7} - 3\sqrt{7}
\]

3. **Combining like terms (all terms involve \(\sqrt{7}\)):**

\[
(5 + 4 - 3)\sqrt{7} = 6\sqrt{7}
\]

Thus, the simplified result is:

\[
6\sqrt{7}
\]

Would you like further clarification or a breakdown of the steps?

Here are some related questions you might find useful:
1. How do you simplify expressions involving square roots?
2. What is the process to combine like terms in radical expressions?
3. How can you identify the factors inside square roots to simplify them?
4. Can radicals always be simplified in expressions like this?
5. What happens if the radicands (numbers inside square roots) are different?

**Tip:** When simplifying square roots, always look for perfect square factors!

Learn how to simplify the expression √175 + 4√7 − √63 step by step. This problem involves simplifying radicals and combining like terms, suitable for students in Grades 8-10.

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