Square roots·√167
√167 =
√167
≈ 12.922848

Square root of 167 — 12.922848 (√167)

Irrational

The square root of 167 is about 12.922848, or exactly √167. It lies between 12 and 13.

As a decimal
≈ 12.922848
Simplified surd
√167 = √167
Between
12 < √167 < 13
Squared
167² = 27889
Cube root
∛167 ≈ 5.506878

Nearby numbers

√164 = 2√41√165 = √165√166 = √166√168 = 2√42√169 = 13√170 = √170

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 167?

About 12.922848, or exactly √167.

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 167?

About 5.506878.