Square root of 5680

The square root of 5680 is 75.365775 (rounded to 6 decimal places). In simplest radical form it is 4√355.

Square root of 5680

Pick any whole number from 1 to 10,000.

\sqrt{5680} = 4\sqrt{355} \approx 75.365775

How to work it out

1
The square root of 5680 is the number that multiplied by itself gives 5680.
2
5680 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: 5680 = 16 × 355, so
$\sqrt{5680} = \sqrt{16 \times 355} = 4\sqrt{355}$
4
A calculator, or long division of digits, gives
$\sqrt{5680} \approx 75.365775$

LaTeX source of the formulas on this page

\[ \sqrt{5680} = 4\sqrt{355} \approx 75.365775 \]
\[ \sqrt{5680} = \sqrt{16 \times 355} = 4\sqrt{355} \]
\[ \sqrt{5680} \approx 75.365775 \]

What is the square root of 5680?

The square root of 5680 is 75.365775 (rounded to 6 decimal places). In simplest radical form it is 4√355.

Is 5680 a perfect square?

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

What is 5680 squared?

5680 × 5680 = 32262400.

What is the square root of 5680 rounded to 2 decimals?

75.37.