On the number line, ( \frac{1}{\sqrt{25}} ) equals which point?

Correct answer: ( \frac{1}{5} )

The correct answer is option C: \(\frac{1}{5}\). Start with the denominator: \(\sqrt{25}=5\), because \(5\times5=25\) and the principal square root is positive. Therefore \(\frac{1}{\sqrt{25}}=\frac{1}{5}\). On the number line this is the point one-fifth of a unit from zero, approximately 0.2. Option A, \(\frac{1}{25}\), would result from incorrectly treating \(\sqrt{25}\) as 25; it is approximately 0.04 and is not the given value. Option B is 5, but the expression is the reciprocal of 5, not 5 itself. Option C is correct after simplifying the root. Option D is 25 and makes the same root mistake as option A. First simplify the square root, then take the reciprocal. Memory cue: \(\sqrt{n^2}=n\) for positive n, so \(1/\sqrt{25}=1/5\), not \(1/25\).