What is the Square Root of 464?

Instant answer with step-by-step solution

√464 = 21.5406592285
√464 = 21.5406592285
⚠ 464 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √464 — a number that when multiplied by itself equals 464.
  2. 464 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): √464 = 464^0.5 = 21.5406592285
  5. Verification: 21.5406592285 × 21.5406592285 ≈ 464 ✓ (rounded to 10 significant figures)

Try another number

√ =

Related calculations

Square root of 464464 square root√463 = 21.5174347914√465 = 21.5638586528√462 = 21.4941852602√466 = 21.5870331449√467 = 21.610182785√461 = 21.4709105536

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots