What is the Square Root of 646?

Step-by-step explanation

1. We need to find √646 — a number that when multiplied by itself equals 646.
2. 646 is not a perfect square. Its square root is irrational.
3. It falls between √625 = 25 and √676 = 26.
4. Using the formula √N = N^(1/2): √646 = 646^0.5 = 25.4165300543
5. Verification: 25.4165300543 × 25.4165300543 ≈ 646 ✓ (rounded to 10 significant figures)

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