3: Take the square root of each perfe \( \sqrt{9} \cdot \sqrt{5}=\square \sqrt{5} \)

Did you know that the square root of a number is essentially asking, "What number do I need to multiply by itself to get this original number?" For example, \( \sqrt{9} \) is simply 3 because \( 3 \times 3 = 9 \). So, in your expression \( \sqrt{9} \cdot \sqrt{5} \), we can rewrite it as \( 3 \cdot \sqrt{5} \), giving you \( 3\sqrt{5} \). Now let's dabble into how to avoid common pitfalls when working with square roots! Remember that \( \sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b} \) only if both a and b are non-negative. So, if you ever find yourself facing a negative under the square root, tread carefully! It might lead to complex numbers, which can get quite imaginative and fanciful. Always check the signs first!