Qayyum gsih Jackin

Let's get practical. Why would you even need to know this? Well, 3√3 appears all the time in trigonometry and geometry. For example, it's the exact length of the long side (the hypotenuse) of a 30-60-90 right triangle where the short side is 3. It's also found in calculations involving the volume of cubes or in the Pythagorean theorem. While the decimal approximation (5.196) is useful for real-world measurement (like cutting a piece of wood), the exact form (3√3) is crucial for deriving formulas and ensuring that subsequent calculations don't accumulate rounding errors. So, knowing both the simplified radical and its decimal value is important, depending on whether you're in a math class (use the radical) or on a construction site (use the decimal).