On the number line, ( \frac{1}{\sqrt{36}} ) equals which point?

Correct answer: ( \frac{1}{6} )

The correct answer is option C: \(\frac{1}{6}\). Simplify the denominator first: \(\sqrt{36}=6\), since \(6^2=36\). Hence \(\frac{1}{\sqrt{36}}=\frac{1}{6}\). This represents a positive point approximately 0.1667 on the number line. Option A, \(\frac{1}{36}\), incorrectly treats the square root as 36; it is much smaller than the required value. Option B gives 6, but the expression is the reciprocal of 6, not 6. Option C correctly applies the reciprocal after simplifying the root. Option D gives 36 and makes the same basic root error as option A. A useful order is: evaluate the root, then keep the numerator 1 over that result. Memory cue: \(\sqrt{36}=6\), so the reciprocal is \(1/6\), never \(1/36\).