1. **State the problem:** Simplify the expression $$\frac{3.2}{\sqrt{297.6}}$$. 2. **Recall the formula and rules:** To simplify a fraction with a square root in the denominator, we rationalize the denominator by multiplying numerator and denominator by the conjugate or the root itself. 3. **Rationalize the denominator:** Multiply numerator and denominator by $$\sqrt{297.6}$$: $$\frac{3.2}{\sqrt{297.6}} \times \frac{\sqrt{297.6}}{\sqrt{297.6}} = \frac{3.2 \times \sqrt{297.6}}{\sqrt{297.6} \times \sqrt{297.6}}$$ 4. **Simplify the denominator:** $$\sqrt{297.6} \times \sqrt{297.6} = 297.6$$ 5. **Rewrite the expression:** $$\frac{3.2 \times \sqrt{297.6}}{297.6}$$ 6. **Simplify the fraction $$\frac{3.2}{297.6}$$:** $$\frac{3.2}{297.6} = \frac{\cancel{3.2}}{\cancel{297.6}} = \frac{1}{93}$$ because $$3.2 \times 93 = 297.6$$. 7. **Final simplified expression:** $$\frac{\sqrt{297.6}}{93}$$ 8. **Approximate the square root:** $$\sqrt{297.6} \approx 17.25$$ 9. **Calculate the approximate value:** $$\frac{17.25}{93} \approx 0.1855$$ **Answer:** $$\frac{3.2}{\sqrt{297.6}} = \frac{\sqrt{297.6}}{93} \approx 0.1855$$.