Square roots·√11
√11 =
√11
≈ 3.316625

Square root of 11 — 3.316625 (√11)

Irrational

The square root of 11 is about 3.316625, or exactly √11. It lies between 3 and 4.

As a decimal
≈ 3.316625
Simplified surd
√11 = √11
Between
3 < √11 < 4
Squared
11² = 121
Cube root
∛11 ≈ 2.22398

Nearby numbers

√8 = 2√2√9 = 3√10 = √10√12 = 2√3√13 = √13√14 = √14

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 11?

About 3.316625, or exactly √11.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 3 and 4.

Q. What is the cube root of 11?

About 2.22398.