Square root of 12

The square root of 12 is 3.464102 (rounded to 6 decimal places). In simplest radical form it is 2√3.

Square root of 12

Pick any whole number from 1 to 10,000.

\sqrt{12} = 2\sqrt{3} \approx 3.464102

How to work it out

1
The square root of 12 is the number that multiplied by itself gives 12.
2
12 is between the perfect squares 3² = 9 and 4² = 16, so its square root is between 3 and 4.
3
Pull out the biggest square factor: 12 = 4 × 3, so
$\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{12} \approx 3.464102$

LaTeX source of the formulas on this page

\[ \sqrt{12} = 2\sqrt{3} \approx 3.464102 \]
\[ \sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3} \]
\[ \sqrt{12} \approx 3.464102 \]

What is the square root of 12?

The square root of 12 is 3.464102 (rounded to 6 decimal places). In simplest radical form it is 2√3.

Is 12 a perfect square?

No. It lies between 3² = 9 and 4² = 16.

What is 12 squared?

12 × 12 = 144.

What is the square root of 12 rounded to 2 decimals?

3.46.