Square roots·√3
√3 =
√3
≈ 1.732051

Square root of 3 — 1.732051 (√3)

Irrational

The square root of 3 is about 1.732051, or exactly √3. It lies between 1 and 2.

As a decimal
≈ 1.732051
Simplified surd
√3 = √3
Between
1 < √3 < 2
Squared
3² = 9
Cube root
∛3 ≈ 1.44225

Nearby numbers

√1 = 1√2 = √2√4 = 2√5 = √5√6 = √6

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 3?

About 1.732051, or exactly √3.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 1 and 2.

Q. What is the cube root of 3?

About 1.44225.