Square roots·√65
√65 =
√65
≈ 8.062258

Square root of 65 — 8.062258 (√65)

Irrational

The square root of 65 is about 8.062258, or exactly √65. It lies between 8 and 9.

As a decimal
≈ 8.062258
Simplified surd
√65 = √65
Between
8 < √65 < 9
Squared
65² = 4225
Cube root
∛65 ≈ 4.020726

Nearby numbers

√62 = √62√63 = 3√7√64 = 8√66 = √66√67 = √67√68 = 2√17

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 65?

About 8.062258, or exactly √65.

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 65?

About 4.020726.