2 Square Root

Instant answer with step-by-step solution

√2 = 1.4142135624
√2 = 1.4142135624
⚠ 2 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √2 — a number that when multiplied by itself equals 2.
  2. 2 is not a perfect square. Its square root is irrational.
  3. It falls between √1 = 1 and √4 = 2.
  4. Using the formula √N = N^(1/2): √2 = 2^0.5 = 1.4142135624
  5. Verification: 1.4142135624 × 1.4142135624 ≈ 2 ✓ (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