Square roots·√85
√85 =
√85
≈ 9.219544

Square root of 85 — 9.219544 (√85)

Irrational

The square root of 85 is about 9.219544, or exactly √85. It lies between 9 and 10.

As a decimal
≈ 9.219544
Simplified surd
√85 = √85
Between
9 < √85 < 10
Squared
85² = 7225
Cube root
∛85 ≈ 4.39683

Nearby numbers

√82 = √82√83 = √83√84 = 2√21√86 = √86√87 = √87√88 = 2√22

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 85?

About 9.219544, or exactly √85.

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 85?

About 4.39683.