What is the Square Root of 83?

Instant answer with step-by-step solution

√83 = 9.1104335791
√83 = 9.1104335791
⚠ 83 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √83 — a number that when multiplied by itself equals 83.
  2. 83 is not a perfect square. Its square root is irrational.
  3. It falls between √81 = 9 and √100 = 10.
  4. Using the formula √N = N^(1/2): √83 = 83^0.5 = 9.1104335791
  5. Verification: 9.1104335791 × 9.1104335791 ≈ 83 ✓ (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