What is the Square Root of 257?

Instant answer with step-by-step solution

√257 = 16.0312195419
√257 = 16.0312195419
⚠ 257 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √257 — a number that when multiplied by itself equals 257.
  2. 257 is not a perfect square. Its square root is irrational.
  3. It falls between √256 = 16 and √289 = 17.
  4. Using the formula √N = N^(1/2): √257 = 257^0.5 = 16.0312195419
  5. Verification: 16.0312195419 × 16.0312195419 ≈ 257 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 257257 square root√256 = 16√258 = 16.0623784042√255 = 15.9687194227√259 = 16.0934769394√260 = 16.1245154966√254 = 15.9373774505

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots