Square root of 2288

The square root of 2288 is 47.833043 (rounded to 6 decimal places). In simplest radical form it is 4√143.

Square root of 2288

Pick any whole number from 1 to 10,000.

\sqrt{2288} = 4\sqrt{143} \approx 47.833043

How to work it out

1
The square root of 2288 is the number that multiplied by itself gives 2288.
2
2288 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
3
Pull out the biggest square factor: 2288 = 16 × 143, so
$\sqrt{2288} = \sqrt{16 \times 143} = 4\sqrt{143}$
4
A calculator, or long division of digits, gives
$\sqrt{2288} \approx 47.833043$

LaTeX source of the formulas on this page

\[ \sqrt{2288} = 4\sqrt{143} \approx 47.833043 \]
\[ \sqrt{2288} = \sqrt{16 \times 143} = 4\sqrt{143} \]
\[ \sqrt{2288} \approx 47.833043 \]

What is the square root of 2288?

The square root of 2288 is 47.833043 (rounded to 6 decimal places). In simplest radical form it is 4√143.

Is 2288 a perfect square?

No. It lies between 47² = 2209 and 48² = 2304.

What is 2288 squared?

2288 × 2288 = 5234944.

What is the square root of 2288 rounded to 2 decimals?

47.83.