Square Root of 101

Instant answer with step-by-step solution

√101 = 10.0498756211
√101 = 10.0498756211
⚠ 101 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √101 — a number that when multiplied by itself equals 101.
  2. 101 is not a perfect square. Its square root is irrational.
  3. It falls between √100 = 10 and √121 = 11.
  4. Using the formula √N = N^(1/2): √101 = 101^0.5 = 10.0498756211
  5. Verification: 10.0498756211 × 10.0498756211 ≈ 101 ✓ (rounded to 10 significant figures)

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