Square roots·√165
√165 =
√165
≈ 12.845233

Square root of 165 — 12.845233 (√165)

Irrational

The square root of 165 is about 12.845233, or exactly √165. It lies between 12 and 13.

As a decimal
≈ 12.845233
Simplified surd
√165 = √165
Between
12 < √165 < 13
Squared
165² = 27225
Cube root
∛165 ≈ 5.484807

Nearby numbers

√162 = 9√2√163 = √163√164 = 2√41√166 = √166√167 = √167√168 = 2√42

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 165?

About 12.845233, or exactly √165.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 12 and 13.

Q. What is the cube root of 165?

About 5.484807.