Square roots·√67
√67 =
√67
≈ 8.185353

Square root of 67 — 8.185353 (√67)

Irrational

The square root of 67 is about 8.185353, or exactly √67. It lies between 8 and 9.

As a decimal
≈ 8.185353
Simplified surd
√67 = √67
Between
8 < √67 < 9
Squared
67² = 4489
Cube root
∛67 ≈ 4.061548

Nearby numbers

√64 = 8√65 = √65√66 = √66√68 = 2√17√69 = √69√70 = √70

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 67?

About 8.185353, or exactly √67.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 8 and 9.

Q. What is the cube root of 67?

About 4.061548.