Square roots·√82
√82 =
√82
≈ 9.055385

Square root of 82 — 9.055385 (√82)

Irrational

The square root of 82 is about 9.055385, or exactly √82. It lies between 9 and 10.

As a decimal
≈ 9.055385
Simplified surd
√82 = √82
Between
9 < √82 < 10
Squared
82² = 6724
Cube root
∛82 ≈ 4.344481

Nearby numbers

√79 = √79√80 = 4√5√81 = 9√83 = √83√84 = 2√21√85 = √85

From 1 to 200

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How to read this

  • The decimal is rounded; the surd form is the exact value.
  • Pulling out a square factor simplifies the surd — √50 = 5√2.
  • If the number is not a perfect square, the decimal never ends (irrational).
  • Knowing which two integers it sits between is enough to estimate in your head.

Frequently asked questions

Q. What is the square root of 82?

About 9.055385, or exactly √82.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 9 and 10.

Q. What is the cube root of 82?

About 4.344481.