https://file.aiquickdraw.com/mathbot/file/17291532919556gcrkpl4.jpg

The problem shown in the image asks to find the value of:

\[
10\sqrt{5} - 4\sqrt{5} - 7\sqrt{5}
\]

### Solution:
We can simplify this expression by factoring out the common term \(\sqrt{5}\):

\[
(10 - 4 - 7) \sqrt{5}
\]

First, perform the subtraction inside the parentheses:

\[
10 - 4 - 7 = -1
\]

Thus, the expression simplifies to:

\[
-1\sqrt{5} = -\sqrt{5}
\]

So, the correct answer is **A. \(-\sqrt{5}\)**.

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Would you like more details or further explanations?

Here are 5 related questions for practice:
1. What is the value of \( 3\sqrt{3} + 5\sqrt{3} - 8\sqrt{3} \)?
2. How would you simplify \( 2\sqrt{2} + 3\sqrt{2} - \sqrt{2} \)?
3. Solve \( 9\sqrt{7} - 2\sqrt{7} + 6\sqrt{7} \).
4. What is the result of \( 4\sqrt{11} - 5\sqrt{11} \)?
5. Simplify \( 12\sqrt{6} - 9\sqrt{6} + 5\sqrt{6} \).

**Tip:** When dealing with terms involving square roots, always look for common factors to simplify.

Find the value of 10√5 - 4√5 - 7√5.

Learn how to simplify the expression 10√5 - 4√5 - 7√5. This step-by-step solution explains the process of combining like terms involving radicals. Ideal for students in Grades 6-8.

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