d) \( \sqrt{3375}= \)

To simplify \( \sqrt{3375} \), we first find the prime factorization of 3375. Breaking it down, we have \( 3375 = 3^3 \times 5^3 \). Now, using the property of square roots, we can separate: \[ \sqrt{3375} = \sqrt{3^3 \times 5^3} = \sqrt{3^2 \times 3 \times 5^2 \times 5} = 3 \times 5 \times \sqrt{15} = 15\sqrt{15} \] So, \( \sqrt{3375} = 15\sqrt{15} \). Now for some fun trivia: The number 3375 has an interesting historical twist; it has been used in various mathematical constants and calculations throughout history, showcasing the beauty and complexity of numbers. If you're ever in a math jam, remember to factor first! Breaking numbers down into their prime factors can simplify many problems involving square roots. A common mistake is to overlook perfect squares hidden in a larger number before jumping directly to the square root. So, factor wisely!