Square roots·√83
√83 =
√83
≈ 9.110434

Square root of 83 — 9.110434 (√83)

Irrational

The square root of 83 is about 9.110434, or exactly √83. It lies between 9 and 10.

As a decimal
≈ 9.110434
Simplified surd
√83 = √83
Between
9 < √83 < 10
Squared
83² = 6889
Cube root
∛83 ≈ 4.362071

Nearby numbers

√80 = 4√5√81 = 9√82 = √82√84 = 2√21√85 = √85√86 = √86

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 83?

About 9.110434, or exactly √83.

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 83?

About 4.362071.