Rearrange formulas to highlight a chosen quantity across the expression types studied.
Isolate a powered variable with explicit real branches and conditions
Problem
In \(A~=~s^2\), isolate the nonnegative side length \(s\). State the real condition and explain the branch used.
Big Picture
What this problem is really about
Undo an even power with a square root only after recognizing its real-domain condition. Algebraically, a squared variable can produce two opposite branches, but the variable's meaning may narrow them. Because a side length is nonnegative, retain the principal branch and state the condition that makes the root real.
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