What is the Square Root of 462?

Instant answer with step-by-step solution

√462 = 21.4941852602
√462 = 21.4941852602
⚠ 462 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √462 — a number that when multiplied by itself equals 462.
  2. 462 is not a perfect square. Its square root is irrational.
  3. It falls between √441 = 21 and √484 = 22.
  4. Using the formula √N = N^(1/2): √462 = 462^0.5 = 21.4941852602
  5. Verification: 21.4941852602 × 21.4941852602 ≈ 462 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 462462 square root√461 = 21.4709105536√463 = 21.5174347914√460 = 21.4476105895√464 = 21.5406592285√465 = 21.5638586528√459 = 21.4242852856

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots