√12 =
2√3
≈ 3.464102
Square root of 12 — 3.464102 (2√3)
Irrational
The square root of 12 is about 3.464102, or exactly 2√3. It lies between 3 and 4.
- As a decimal
- ≈ 3.464102
- Simplified surd
- √12 = 2√3
- Between
- 3 < √12 < 4
- Squared
- 12² = 144
- Cube root
- ∛12 ≈ 2.289428
How the surd is simplified
Pull out the largest square factor. Since 50 = 25 × 2, the root of 25 comes out as 5 and the 2 stays behind: 5√2.
√12 = √(4 × 3) = 2√3
Nearby numbers
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 12?
About 3.464102, or exactly 2√3.
Q. Can the surd be simplified?
Yes: 12 = 4 × 3, so 2 comes out and it becomes 2√3.
Q. Between which integers does it fall?
Between 3 and 4.
Q. What is the cube root of 12?
About 2.289428.