Square root of 2808

The square root of 2808 is 52.990565 (rounded to 6 decimal places). In simplest radical form it is 6√78.

Square root of 2808

Pick any whole number from 1 to 10,000.

\sqrt{2808} = 6\sqrt{78} \approx 52.990565

How to work it out

1
The square root of 2808 is the number that multiplied by itself gives 2808.
2
2808 is between the perfect squares 52² = 2704 and 53² = 2809, so its square root is between 52 and 53.
3
Pull out the biggest square factor: 2808 = 36 × 78, so
$\sqrt{2808} = \sqrt{36 \times 78} = 6\sqrt{78}$
4
A calculator, or long division of digits, gives
$\sqrt{2808} \approx 52.990565$

LaTeX source of the formulas on this page

\[ \sqrt{2808} = 6\sqrt{78} \approx 52.990565 \]
\[ \sqrt{2808} = \sqrt{36 \times 78} = 6\sqrt{78} \]
\[ \sqrt{2808} \approx 52.990565 \]

What is the square root of 2808?

The square root of 2808 is 52.990565 (rounded to 6 decimal places). In simplest radical form it is 6√78.

Is 2808 a perfect square?

No. It lies between 52² = 2704 and 53² = 2809.

What is 2808 squared?

2808 × 2808 = 7884864.

What is the square root of 2808 rounded to 2 decimals?

52.99.