Square root of 5769

The square root of 5769 is 75.953933 (rounded to 6 decimal places). In simplest radical form it is 3√641.

Square root of 5769

Pick any whole number from 1 to 10,000.

\sqrt{5769} = 3\sqrt{641} \approx 75.953933

How to work it out

1
The square root of 5769 is the number that multiplied by itself gives 5769.
2
5769 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5769 = 9 × 641, so
$\sqrt{5769} = \sqrt{9 \times 641} = 3\sqrt{641}$
4
A calculator, or long division of digits, gives
$\sqrt{5769} \approx 75.953933$

LaTeX source of the formulas on this page

\[ \sqrt{5769} = 3\sqrt{641} \approx 75.953933 \]
\[ \sqrt{5769} = \sqrt{9 \times 641} = 3\sqrt{641} \]
\[ \sqrt{5769} \approx 75.953933 \]

What is the square root of 5769?

The square root of 5769 is 75.953933 (rounded to 6 decimal places). In simplest radical form it is 3√641.

Is 5769 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5769 squared?

5769 × 5769 = 33281361.

What is the square root of 5769 rounded to 2 decimals?

75.95.