a) \( 2^{2}=4 \Leftrightarrow \sqrt{4}= \) b) \( 3^{2}=9 \Leftrightarrow \sqrt{9}= \) c) \( 4^{2}=16 \Leftrightarrow \sqrt{16}= \) d) \( 5^{2}=25 \Leftrightarrow \sqrt{25}= \)

The square root function is essentially the opposite of squaring a number. When you square a number, you’re multiplying it by itself, and taking the square root undoes that operation. So, for each of your equations: \( \sqrt{4} = 2 \), \( \sqrt{9} = 3 \), \( \sqrt{16} = 4 \), and \( \sqrt{25} = 5 \). It’s like the perfect mathematical dance—you multiply, then unwind! This principle isn’t just a classroom exercise—it’s everywhere in the real world! From calculating areas (like finding the side of a square when you know its area) to physics (think of projectile motion), square roots show up in key formulas, making them essential for things like determining distances or understanding rates of change. So, whether you’re building a birdhouse or launching a rocket, those square roots can help you find your footing in the universe!