Square root of 1269

The square root of 1269 is 35.623026 (rounded to 6 decimal places). In simplest radical form it is 3√141.

Square root of 1269

Pick any whole number from 1 to 10,000.

\sqrt{1269} = 3\sqrt{141} \approx 35.623026

How to work it out

1
The square root of 1269 is the number that multiplied by itself gives 1269.
2
1269 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
3
Pull out the biggest square factor: 1269 = 9 × 141, so
$\sqrt{1269} = \sqrt{9 \times 141} = 3\sqrt{141}$
4
A calculator, or long division of digits, gives
$\sqrt{1269} \approx 35.623026$

LaTeX source of the formulas on this page

\[ \sqrt{1269} = 3\sqrt{141} \approx 35.623026 \]
\[ \sqrt{1269} = \sqrt{9 \times 141} = 3\sqrt{141} \]
\[ \sqrt{1269} \approx 35.623026 \]

What is the square root of 1269?

The square root of 1269 is 35.623026 (rounded to 6 decimal places). In simplest radical form it is 3√141.

Is 1269 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1269 squared?

1269 × 1269 = 1610361.

What is the square root of 1269 rounded to 2 decimals?

35.62.