Square root of 2320

The square root of 2320 is 48.166378 (rounded to 6 decimal places). In simplest radical form it is 4√145.

Square root of 2320

Pick any whole number from 1 to 10,000.

\sqrt{2320} = 4\sqrt{145} \approx 48.166378

How to work it out

1
The square root of 2320 is the number that multiplied by itself gives 2320.
2
2320 is between the perfect squares 48² = 2304 and 49² = 2401, so its square root is between 48 and 49.
3
Pull out the biggest square factor: 2320 = 16 × 145, so
$\sqrt{2320} = \sqrt{16 \times 145} = 4\sqrt{145}$
4
A calculator, or long division of digits, gives
$\sqrt{2320} \approx 48.166378$

LaTeX source of the formulas on this page

\[ \sqrt{2320} = 4\sqrt{145} \approx 48.166378 \]
\[ \sqrt{2320} = \sqrt{16 \times 145} = 4\sqrt{145} \]
\[ \sqrt{2320} \approx 48.166378 \]

What is the square root of 2320?

The square root of 2320 is 48.166378 (rounded to 6 decimal places). In simplest radical form it is 4√145.

Is 2320 a perfect square?

No. It lies between 48² = 2304 and 49² = 2401.

What is 2320 squared?

2320 × 2320 = 5382400.

What is the square root of 2320 rounded to 2 decimals?

48.17.