Find the​ value(s) of the expression.
the square roots of StartFraction 1 Over 36 EndFraction

The expression asks for the square roots of \( \frac{1}{36} \).

To find the square roots of \( \frac{1}{36} \), we take the square root of both the numerator and the denominator separately:

\[
\sqrt{\frac{1}{36}} = \frac{\sqrt{1}}{\sqrt{36}} = \frac{1}{6}
\]

Since square roots have both positive and negative values, the two possible solutions are:

\[
\pm \frac{1}{6}
\]

Thus, the values of the expression are \( \frac{1}{6} \) and \( -\frac{1}{6} \).

Would you like further explanation or examples on square roots?

Here are 5 related questions:
1. What is the square root of \( \frac{4}{49} \)?
2. How do you find the square root of a fraction in general?
3. What is the cube root of \( \frac{1}{8} \)?
4. What are the square roots of \( 0.25 \)?
5. How do you simplify \( \sqrt{\frac{9}{64}} \)?

**Tip:** When finding square roots of fractions, always apply the square root to both the numerator and the denominator separately!

Find the value(s) of the expression. The square roots of 1/36.

Learn how to find the square roots of the fraction 1/36. This detailed solution shows how to apply square root properties to both the numerator and denominator, yielding both positive and negative values. Ideal for students in Grades 6-8.

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