Square roots·√166
√166 =
√166
≈ 12.884099

Square root of 166 — 12.884099 (√166)

Irrational

The square root of 166 is about 12.884099, or exactly √166. It lies between 12 and 13.

As a decimal
≈ 12.884099
Simplified surd
√166 = √166
Between
12 < √166 < 13
Squared
166² = 27556
Cube root
∛166 ≈ 5.495865

Nearby numbers

√163 = √163√164 = 2√41√165 = √165√167 = √167√168 = 2√42√169 = 13

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 166?

About 12.884099, or exactly √166.

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 166?

About 5.495865.