Let's analyze each expression one by one:

1. √(n²) = n
   This expression is false.
   The square root of $n^2$ is $|n|$, the absolute value of $n$. So, $\sqrt{n^2} = |n|$, not $n$, because $n$ could be negative, but $|n|$ is always positive.

2. -n + n = 0
   This expression is true.
   For any number $n$, adding its opposite results in 0. $-n + n = 0$.

3. -n / -n = 1
   This expression is true.
   Dividing a number by itself (provided $n \neq 0$) gives 1, and the negatives cancel out.

4. 5n = n / 5
   This expression is false.
   $5n$ is 5 times $n$, while $n / 5$ is $n$ divided by 5. They are not equal.

5. n cubed = n²
   This expression is false.
   $n^3$ and $n^2$ are not equal. $n^3$ is $n \times n \times n$, while $n^2$ is $n \times n$.

6. (-n)² = n²
   This expression is true.
   Squaring $-n$ results in $n^2$, since $(-n) \times (-n) = n^2$.

7. -n³ = n³
   This expression is false.
   The cube of a negative number is negative, so $-n^3 \neq n^3$.

8. √(n)(0) = 0
   This expression is true.
   Any number multiplied by 0 is 0, so $\sqrt{n} \times 0 = 0$.

Summary of True Expressions:

• -n + n = 0
• -n / -n = 1
• (-n)² = n²
• √(n)(0) = 0

Would you like more details or have any questions?

Here are five related questions to explore further:

1. What happens if you take the square root of a negative number?
2. How does squaring a negative number differ from cubing it?
3. What is the difference between multiplying and dividing variables?
4. Can you simplify expressions involving absolute values?
5. What properties do even and odd exponents have?

Tip: When working with square roots, always consider the absolute value for non-negative results.