The equation given is:

\[
\sqrt{x + y + z} = 1
\]

To solve for \( x + y + z \), you can square both sides of the equation to eliminate the square root. 

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

This simplifies to:

\[
x + y + z = 1
\]

So, the solution is:

\[
x + y + z = 1
\]

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. If \( x = 1 \) and \( y = 0 \), what is the value of \( z \)?
2. How would you solve \( \sqrt{x + y + z} = 2 \)?
3. What are the possible values for \( x + y + z \) if \( \sqrt{x + y + z} = -1 \)?
4. How does the solution change if \( \sqrt{x + y + z} = 0 \)?
5. Can the equation \( \sqrt{x + y + z} = k \) be solved for any constant \( k \)?

**Tip:** Always consider squaring both sides when dealing with square roots in equations, but be cautious of extraneous solutions introduced by this process.

Learn how to solve the equation sqrt(x + y + z) = 1 with a detailed step-by-step solution. This problem involves understanding square roots and solving equations. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation