What is the Square Root of 772?

Instant answer with step-by-step solution

√772 = 27.7848879789
√772 = 27.7848879789
⚠ 772 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √772 — a number that when multiplied by itself equals 772.
  2. 772 is not a perfect square. Its square root is irrational.
  3. It falls between √729 = 27 and √784 = 28.
  4. Using the formula √N = N^(1/2): √772 = 772^0.5 = 27.7848879789
  5. Verification: 27.7848879789 × 27.7848879789 ≈ 772 ✓ (rounded to 10 significant figures)

Try another number

√ =

Related calculations

Square root of 772772 square root√771 = 27.7668867538√773 = 27.8028775489√770 = 27.748873851√774 = 27.8208554865√775 = 27.8388218142√769 = 27.7308492477

← Back to Square Root Calculator

Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots