https://file.aiquickdraw.com/mathbot/file/1726942201430wsytgsie.jpg

It seems the OCR didn't correctly extract the content of the image. I'll analyze the image visually instead.

The problem in the image asks to solve:

\[
\sqrt{(x + 1)^2} = x + 1
\]

The least value of \(x\) that satisfies this equation is \(\boxed{-1}\).

Let me know if you need more details or have questions.

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Here are 5 related questions to explore further:
1. What happens if we solve \(\sqrt{(x - 2)^2} = x - 2\)?
2. How do you solve \(\sqrt{x^2 + 2x + 1} = x + 2\)?
3. Why is the least solution preferred in some cases?
4. What is the effect of squaring both sides of a square root equation?
5. Can there be extraneous solutions when solving square root equations?

**Tip:** Always check for extraneous solutions when solving equations involving square roots.

What is the least value of x that is a solution to the equation √(x + 1)^2 = x + 1?

Learn how to find the least value of x that solves √(x + 1)^2 = x + 1. This algebraic problem covers key concepts like square root equations and their properties. Suitable for high school students in Grades 9-11.

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