Square Root of 45

Instant answer with step-by-step solution

√45 = 6.7082039325
√45 = 6.7082039325
⚠ 45 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √45 — a number that when multiplied by itself equals 45.
  2. 45 is not a perfect square. Its square root is irrational.
  3. It falls between √36 = 6 and √49 = 7.
  4. Using the formula √N = N^(1/2): √45 = 45^0.5 = 6.7082039325
  5. Verification: 6.7082039325 × 6.7082039325 ≈ 45 ✓ (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