Questions: Use the quotient rule to simplify the expression. √(16/9)

Solution Steps

To simplify the expression $\sqrt{\frac{16}{9}}$, we apply the quotient rule for square roots, which states that:

$$\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}$$

In this case, we have:

$$\sqrt{\frac{16}{9}} = \frac{\sqrt{16}}{\sqrt{9}}$$

Next, we calculate the square roots of the numerator and the denominator:

$$\sqrt{16} = 4 \quad \text{and} \quad \sqrt{9} = 3$$

Now, we divide the results from Step 2:

$$\frac{\sqrt{16}}{\sqrt{9}} = \frac{4}{3} \approx 1.3333$$

Final Answer