What is the Square Root of 460?

Instant answer with step-by-step solution

√460 = 21.4476105895
√460 = 21.4476105895
⚠ 460 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √460 — a number that when multiplied by itself equals 460.
  2. 460 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): √460 = 460^0.5 = 21.4476105895
  5. Verification: 21.4476105895 × 21.4476105895 ≈ 460 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 460460 square root√459 = 21.4242852856√461 = 21.4709105536√458 = 21.400934559√462 = 21.4941852602√463 = 21.5174347914√457 = 21.3775583264

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots