Square root of 1206

The square root of 1206 is 34.727511 (rounded to 6 decimal places). In simplest radical form it is 3√134.

Square root of 1206

Pick any whole number from 1 to 10,000.

\sqrt{1206} = 3\sqrt{134} \approx 34.727511

How to work it out

1
The square root of 1206 is the number that multiplied by itself gives 1206.
2
1206 is between the perfect squares 34² = 1156 and 35² = 1225, so its square root is between 34 and 35.
3
Pull out the biggest square factor: 1206 = 9 × 134, so
$\sqrt{1206} = \sqrt{9 \times 134} = 3\sqrt{134}$
4
A calculator, or long division of digits, gives
$\sqrt{1206} \approx 34.727511$

LaTeX source of the formulas on this page

\[ \sqrt{1206} = 3\sqrt{134} \approx 34.727511 \]
\[ \sqrt{1206} = \sqrt{9 \times 134} = 3\sqrt{134} \]
\[ \sqrt{1206} \approx 34.727511 \]

What is the square root of 1206?

The square root of 1206 is 34.727511 (rounded to 6 decimal places). In simplest radical form it is 3√134.

Is 1206 a perfect square?

No. It lies between 34² = 1156 and 35² = 1225.

What is 1206 squared?

1206 × 1206 = 1454436.

What is the square root of 1206 rounded to 2 decimals?

34.73.