Helen thinks $\sqrt { x ^ { 2 } } = x$. Felicia does not agree.

1. Use various values of $x$ to check whether or not Helen is correct.

   Hint (a):

   Try evaluating different numbers. Be sure to include positive numbers, negative numbers and fractions.

2. Find an accurate expression for $\sqrt { x ^ { 2 } }$.

   Hint (b):

   If both $n$ and $−n$ give you the same value, $n$, how can we alter Helen's statement to make it true?