Square roots·√13
√13 =
√13
≈ 3.605551

Square root of 13 — 3.605551 (√13)

Irrational

The square root of 13 is about 3.605551, or exactly √13. It lies between 3 and 4.

As a decimal
≈ 3.605551
Simplified surd
√13 = √13
Between
3 < √13 < 4
Squared
13² = 169
Cube root
∛13 ≈ 2.351335

Nearby numbers

√10 = √10√11 = √11√12 = 2√3√14 = √14√15 = √15√16 = 4

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 13?

About 3.605551, or exactly √13.

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 13?

About 2.351335.