Square roots·√89
√89 =
√89
≈ 9.433981

Square root of 89 — 9.433981 (√89)

Irrational

The square root of 89 is about 9.433981, or exactly √89. It lies between 9 and 10.

As a decimal
≈ 9.433981
Simplified surd
√89 = √89
Between
9 < √89 < 10
Squared
89² = 7921
Cube root
∛89 ≈ 4.464745

Nearby numbers

√86 = √86√87 = √87√88 = 2√22√90 = 3√10√91 = √91√92 = 2√23

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 89?

About 9.433981, or exactly √89.

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 89?

About 4.464745.