Square roots·√181
√181 =
√181
≈ 13.453624

Square root of 181 — 13.453624 (√181)

Irrational

The square root of 181 is about 13.453624, or exactly √181. It lies between 13 and 14.

As a decimal
≈ 13.453624
Simplified surd
√181 = √181
Between
13 < √181 < 14
Squared
181² = 32761
Cube root
∛181 ≈ 5.656653

Nearby numbers

√178 = √178√179 = √179√180 = 6√5√182 = √182√183 = √183√184 = 2√46

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 181?

About 13.453624, or exactly √181.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 13 and 14.

Q. What is the cube root of 181?

About 5.656653.