Square roots·√161
√161 =
√161
≈ 12.688578

Square root of 161 — 12.688578 (√161)

Irrational

The square root of 161 is about 12.688578, or exactly √161. It lies between 12 and 13.

As a decimal
≈ 12.688578
Simplified surd
√161 = √161
Between
12 < √161 < 13
Squared
161² = 25921
Cube root
∛161 ≈ 5.440122

Nearby numbers

√158 = √158√159 = √159√160 = 4√10√162 = 9√2√163 = √163√164 = 2√41

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 161?

About 12.688578, or exactly √161.

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 161?

About 5.440122.