Square root of 5760

The square root of 5760 is 75.894664 (rounded to 6 decimal places). In simplest radical form it is 24√10.

Square root of 5760

Pick any whole number from 1 to 10,000.

\sqrt{5760} = 24\sqrt{10} \approx 75.894664

How to work it out

1
The square root of 5760 is the number that multiplied by itself gives 5760.
2
5760 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: 5760 = 576 × 10, so
$\sqrt{5760} = \sqrt{576 \times 10} = 24\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{5760} \approx 75.894664$

LaTeX source of the formulas on this page

\[ \sqrt{5760} = 24\sqrt{10} \approx 75.894664 \]
\[ \sqrt{5760} = \sqrt{576 \times 10} = 24\sqrt{10} \]
\[ \sqrt{5760} \approx 75.894664 \]

What is the square root of 5760?

The square root of 5760 is 75.894664 (rounded to 6 decimal places). In simplest radical form it is 24√10.

Is 5760 a perfect square?

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

What is 5760 squared?

5760 × 5760 = 33177600.

What is the square root of 5760 rounded to 2 decimals?

75.89.