What is the Square Root of 52?

Instant answer with step-by-step solution

√52 = 7.2111025509
√52 = 7.2111025509
⚠ 52 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √52 — a number that when multiplied by itself equals 52.
  2. 52 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): √52 = 52^0.5 = 7.2111025509
  5. Verification: 7.2111025509 × 7.2111025509 ≈ 52 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 5252 square root√51 = 7.1414284285√53 = 7.2801098893√50 = 7.0710678119√54 = 7.3484692283√55 = 7.4161984871√49 = 7

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots