Square root of 369

The square root of 369 is 19.209373 (rounded to 6 decimal places). In simplest radical form it is 3√41.

Square root of 369

Pick any whole number from 1 to 10,000.

\sqrt{369} = 3\sqrt{41} \approx 19.209373

How to work it out

1
The square root of 369 is the number that multiplied by itself gives 369.
2
369 is between the perfect squares 19² = 361 and 20² = 400, so its square root is between 19 and 20.
3
Pull out the biggest square factor: 369 = 9 × 41, so
$\sqrt{369} = \sqrt{9 \times 41} = 3\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{369} \approx 19.209373$

LaTeX source of the formulas on this page

\[ \sqrt{369} = 3\sqrt{41} \approx 19.209373 \]
\[ \sqrt{369} = \sqrt{9 \times 41} = 3\sqrt{41} \]
\[ \sqrt{369} \approx 19.209373 \]

What is the square root of 369?

The square root of 369 is 19.209373 (rounded to 6 decimal places). In simplest radical form it is 3√41.

Is 369 a perfect square?

No. It lies between 19² = 361 and 20² = 400.

What is 369 squared?

369 × 369 = 136161.

What is the square root of 369 rounded to 2 decimals?

19.21.