Square root of 2385

The square root of 2385 is 48.836462 (rounded to 6 decimal places). In simplest radical form it is 3√265.

Square root of 2385

Pick any whole number from 1 to 10,000.

\sqrt{2385} = 3\sqrt{265} \approx 48.836462

How to work it out

1
The square root of 2385 is the number that multiplied by itself gives 2385.
2
2385 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: 2385 = 9 × 265, so
$\sqrt{2385} = \sqrt{9 \times 265} = 3\sqrt{265}$
4
A calculator, or long division of digits, gives
$\sqrt{2385} \approx 48.836462$

LaTeX source of the formulas on this page

\[ \sqrt{2385} = 3\sqrt{265} \approx 48.836462 \]
\[ \sqrt{2385} = \sqrt{9 \times 265} = 3\sqrt{265} \]
\[ \sqrt{2385} \approx 48.836462 \]

What is the square root of 2385?

The square root of 2385 is 48.836462 (rounded to 6 decimal places). In simplest radical form it is 3√265.

Is 2385 a perfect square?

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

What is 2385 squared?

2385 × 2385 = 5688225.

What is the square root of 2385 rounded to 2 decimals?

48.84.