Square root of 5766

The square root of 5766 is 75.934182 (rounded to 6 decimal places). In simplest radical form it is 31√6.

Square root of 5766

Pick any whole number from 1 to 10,000.

\sqrt{5766} = 31\sqrt{6} \approx 75.934182

How to work it out

1
The square root of 5766 is the number that multiplied by itself gives 5766.
2
5766 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: 5766 = 961 × 6, so
$\sqrt{5766} = \sqrt{961 \times 6} = 31\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{5766} \approx 75.934182$

LaTeX source of the formulas on this page

\[ \sqrt{5766} = 31\sqrt{6} \approx 75.934182 \]
\[ \sqrt{5766} = \sqrt{961 \times 6} = 31\sqrt{6} \]
\[ \sqrt{5766} \approx 75.934182 \]

What is the square root of 5766?

The square root of 5766 is 75.934182 (rounded to 6 decimal places). In simplest radical form it is 31√6.

Is 5766 a perfect square?

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

What is 5766 squared?

5766 × 5766 = 33246756.

What is the square root of 5766 rounded to 2 decimals?

75.93.