Post-UTMEMathematicsAlgebra

Simplify √16.

A2
B4CORRECT
C8
D16
AI
Toasta AI Explanation
Why the answer is B, and why the others tempt you.
**The reasoning** The square root symbol (√) asks: "What number, when multiplied by itself, gives me this value?" So √16 means: "What number × itself = 16?" Let's check: 4 × 4 = 16 ✓ Therefore, √16 = **4** The principle here is **understanding square roots** — you're finding the number that was squared to produce what's under the root sign. **Why the wrong options tempt you** - **A) 2** — You might confuse this with ∜16 (the fourth root). Yes, 2⁴ = 16, but that's not what the question asks. - **C) 8** — This is half of 16, but that's division (16 ÷ 2), not square root. Don't mix up operations! - **D) 16** — Some students think √16 means "keep it the same," but that's not how roots work. You must find what squared gives 16. **Quick takeaway** Square root asks "what times itself?" — so √16 = 4 because 4 × 4 = 16; always multiply your answer by itself to verify!
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