https://file.aiquickdraw.com/mathbot/file/1726921140066irgm74zm.jpg

The equation provided in the image is:

\[
\sqrt{x + 5} = 8
\]

To solve for \(x\), follow these steps:

1. **Square both sides** of the equation to eliminate the square root:
   \[
   (\sqrt{x + 5})^2 = 8^2
   \]
   Simplifying:
   \[
   x + 5 = 64
   \]

2. **Isolate** \(x\) by subtracting 5 from both sides:
   \[
   x = 64 - 5
   \]
   \[
   x = 59
   \]

Thus, the solution is \(x = 59\).

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. What if the equation was \(\sqrt{x + 7} = 10\)? How would you solve it?
2. How can you check if your solution for \(x\) is correct?
3. What happens if you have a negative value under the square root?
4. How do you solve equations that involve a square root on both sides?
5. What if the equation had a different constant on the right side?

**Tip:** Always check your solution by plugging the value of \(x\) back into the original equation to verify that both sides are equal!

Learn how to solve the square root equation √(x + 5) = 8 using simple algebraic steps. This problem introduces key concepts such as isolating variables and working with square roots. Suitable for students in Grades 8-10.

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