Use the quotient rule to simplify the expression.

Question

squareroot1/144

squareroot 1/144 = blank (Please type an exact answer using radicals as needed.)

Answer 1

To simplify the expression \(\sqrt{\frac{1}{144}}\) using the quotient rule for square roots, we can separate the square root of the numerator and the denominator:

\[ \sqrt{\frac{1}{144}} = \frac{\sqrt{1}}{\sqrt{144}} \]

Now, calculate each square root:

1. \(\sqrt{1} = 1\)
2. \(\sqrt{144} = 12\)

Putting it all together, we get:

\[ \sqrt{\frac{1}{144}} = \frac{1}{12} \]

Thus, the final simplified expression is:

\[ \frac{1}{12} \]