Square Root of 123

Instant answer with step-by-step solution

√123 = 11.0905365064
√123 = 11.0905365064
⚠ 123 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √123 — a number that when multiplied by itself equals 123.
  2. 123 is not a perfect square. Its square root is irrational.
  3. It falls between √121 = 11 and √144 = 12.
  4. Using the formula √N = N^(1/2): √123 = 123^0.5 = 11.0905365064
  5. Verification: 11.0905365064 × 11.0905365064 ≈ 123 ✓ (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