Simplify (√48 + √27).

## The reasoning This is about **simplifying square roots by extracting perfect squares**. First, break down each number inside the roots into prime factors: - √48 = √(16 × 3) = √16 × √3 = **4√3** - √27 = √(9 × 3) = √9 × √3 = **3√3** Now add them together: 4√3 + 3√3 = **(4 + 3)√3 = 7√3** Think of it like collecting similar items: if you have 4 oranges and 3 oranges, you have 7 oranges. Here, the "√3" is your common item. ## Why the wrong options tempt you **A) 5√3** — You might subtract instead of add (4 - 3 = 1? No, wrong operation). **C) 9√3** — You added 48 + 27 = 75 first, then tried something with that. Never add numbers *before* simplifying the roots separately! **D) 12√3** — You multiplied 4 × 3 instead of adding. Different operation entirely. ## Quick takeaway **Always simplify each root completely first, then combine like terms** — treat √3 as you would treat "x" in algebra.