What is the Square Root of 463?

Instant answer with step-by-step solution

√463 = 21.5174347914
√463 = 21.5174347914
⚠ 463 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √463 — a number that when multiplied by itself equals 463.
  2. 463 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): √463 = 463^0.5 = 21.5174347914
  5. Verification: 21.5174347914 × 21.5174347914 ≈ 463 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 463463 square root√462 = 21.4941852602√464 = 21.5406592285√461 = 21.4709105536√465 = 21.5638586528√466 = 21.5870331449√460 = 21.4476105895

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots