Square Root of 1000

Instant answer with step-by-step solution

√1000 = 31.6227766017
√1000 = 31.6227766017
⚠ 1000 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √1000 — a number that when multiplied by itself equals 1000.
  2. 1000 is not a perfect square. Its square root is irrational.
  3. It falls between √961 = 31 and √1024 = 32.
  4. Using the formula √N = N^(1/2): √1000 = 1000^0.5 = 31.6227766017
  5. Verification: 31.6227766017 × 31.6227766017 ≈ 1000 ✓ (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