What is the Square Root of 57?

Instant answer with step-by-step solution

√57 = 7.5498344353
√57 = 7.5498344353
⚠ 57 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √57 — a number that when multiplied by itself equals 57.
  2. 57 is not a perfect square. Its square root is irrational.
  3. It falls between √49 = 7 and √64 = 8.
  4. Using the formula √N = N^(1/2): √57 = 57^0.5 = 7.5498344353
  5. Verification: 7.5498344353 × 7.5498344353 ≈ 57 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 5757 square root√56 = 7.4833147735√58 = 7.6157731059√55 = 7.4161984871√59 = 7.6811457479√60 = 7.7459666924√54 = 7.3484692283

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots