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:

$$\frac{1}{12}$$