461 Square Root

Instant answer with step-by-step solution

√461 = 21.4709105536
√461 = 21.4709105536
⚠ 461 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √461 — a number that when multiplied by itself equals 461.
  2. 461 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): √461 = 461^0.5 = 21.4709105536
  5. Verification: 21.4709105536 × 21.4709105536 ≈ 461 ✓ (rounded to 10 significant figures)

Try another number

=

Related calculations

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots