Square roots·√10
√10 =
√10
≈ 3.162278

Square root of 10 — 3.162278 (√10)

Irrational

The square root of 10 is about 3.162278, or exactly √10. It lies between 3 and 4.

As a decimal
≈ 3.162278
Simplified surd
√10 = √10
Between
3 < √10 < 4
Squared
10² = 100
Cube root
∛10 ≈ 2.154435

Nearby numbers

√7 = √7√8 = 2√2√9 = 3√11 = √11√12 = 2√3√13 = √13

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 10?

About 3.162278, or exactly √10.

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 10?

About 2.154435.