What is the Square Root of 401?

Instant answer with step-by-step solution

√401 = 20.0249843945
√401 = 20.0249843945
⚠ 401 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √401 — a number that when multiplied by itself equals 401.
  2. 401 is not a perfect square. Its square root is irrational.
  3. It falls between √400 = 20 and √441 = 21.
  4. Using the formula √N = N^(1/2): √401 = 401^0.5 = 20.0249843945
  5. Verification: 20.0249843945 × 20.0249843945 ≈ 401 ✓ (rounded to 10 significant figures)

Try another number

√ =

Related calculations

Square root of 401401 square root√400 = 20√402 = 20.0499376558√399 = 19.9749843554√403 = 20.0748598999√404 = 20.0997512422√398 = 19.9499373433

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots