Square roots·√182
√182 =
√182
≈ 13.490738

Square root of 182 — 13.490738 (√182)

Irrational

The square root of 182 is about 13.490738, or exactly √182. It lies between 13 and 14.

As a decimal
≈ 13.490738
Simplified surd
√182 = √182
Between
13 < √182 < 14
Squared
182² = 33124
Cube root
∛182 ≈ 5.667051

Nearby numbers

√179 = √179√180 = 6√5√181 = √181√183 = √183√184 = 2√46√185 = √185

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 182?

About 13.490738, or exactly √182.

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 182?

About 5.667051.