What is the Square Root of 826?

Instant answer with step-by-step solution

√826 = 28.7402157264
√826 = 28.7402157264
⚠ 826 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √826 — a number that when multiplied by itself equals 826.
  2. 826 is not a perfect square. Its square root is irrational.
  3. It falls between √784 = 28 and √841 = 29.
  4. Using the formula √N = N^(1/2): √826 = 826^0.5 = 28.7402157264
  5. Verification: 28.7402157264 × 28.7402157264 ≈ 826 ✓ (rounded to 10 significant figures)

Try another number

√ =

Related calculations

Square root of 826826 square root√825 = 28.7228132327√827 = 28.7576076891√824 = 28.7054001888√828 = 28.7749891399√829 = 28.7923600978√823 = 28.6879765756

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots