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The expression you provided is:

\[
\sqrt{y^2}
\]

To simplify this, we recall the following rule for square roots:

\[
\sqrt{a^2} = |a|
\]

This means that the square root of \( y^2 \) simplifies to the absolute value of \( y \):

\[
\sqrt{y^2} = |y|
\]

The absolute value is used because the square root function always returns non-negative results.

Would you like any further clarification or details on this? Here are some related questions you might find interesting:

1. What is the general rule for square roots of higher powers?
2. How does the absolute value affect equations in algebra?
3. Can square roots be simplified in complex numbers?
4. What happens when you take the square root of negative values?
5. How do absolute values impact solving inequalities?

**Tip:** When simplifying square roots involving variables, always remember to account for absolute values, especially if no specific domain is given for the variable.

Learn how to simplify the square root of a squared variable, \(\sqrt{y^2}\), by understanding the relationship between square roots and absolute values. This concept is suitable for students in Grades 6-8 and covers fundamental algebraic principles.

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