https://file.aiquickdraw.com/mathbot/file/1725851170139keqgyt2k.jpg

The equation in the image is:

\[
\sqrt{x} - 6 = 4
\]

To solve this:

1. **Isolate the square root term** by adding 6 to both sides:
   \[
   \sqrt{x} = 4 + 6
   \]
   \[
   \sqrt{x} = 10
   \]

2. **Square both sides** to remove the square root:
   \[
   x = 10^2
   \]
   \[
   x = 100
   \]

Thus, the solution is \( x = 100 \).

Would you like more details, or do you have any questions? Here are five related problems you could explore:

1. Solve \( \sqrt{x} - 5 = 3 \).
2. Solve \( \sqrt{x} - 4 = 6 \).
3. Solve \( \sqrt{x + 1} - 3 = 5 \).
4. Solve \( 2\sqrt{x} - 6 = 8 \).
5. Solve \( \sqrt{x + 4} - 7 = 2 \).

**Tip:** When solving square root equations, always remember to isolate the square root term before squaring both sides!

Learn how to solve the square root equation √x - 6 = 4 with a detailed step-by-step solution. This problem covers key algebraic concepts, including isolating the square root term and squaring both sides. Suitable for students in Grades 7-9.

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