What is the Square Root of 465?

Instant answer with step-by-step solution

√465 = 21.5638586528
√465 = 21.5638586528
⚠ 465 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √465 — a number that when multiplied by itself equals 465.
  2. 465 is not a perfect square. Its square root is irrational.
  3. It falls between √441 = 21 and √484 = 22.
  4. Using the formula √N = N^(1/2): √465 = 465^0.5 = 21.5638586528
  5. Verification: 21.5638586528 × 21.5638586528 ≈ 465 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 465465 square root√464 = 21.5406592285√466 = 21.5870331449√463 = 21.5174347914√467 = 21.610182785√468 = 21.6333076528√462 = 21.4941852602

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots