Square root of 2364

The square root of 2364 is 48.620983 (rounded to 6 decimal places). In simplest radical form it is 2√591.

Square root of 2364

Pick any whole number from 1 to 10,000.

\sqrt{2364} = 2\sqrt{591} \approx 48.620983

How to work it out

1
The square root of 2364 is the number that multiplied by itself gives 2364.
2
2364 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: 2364 = 4 × 591, so
$\sqrt{2364} = \sqrt{4 \times 591} = 2\sqrt{591}$
4
A calculator, or long division of digits, gives
$\sqrt{2364} \approx 48.620983$

LaTeX source of the formulas on this page

\[ \sqrt{2364} = 2\sqrt{591} \approx 48.620983 \]
\[ \sqrt{2364} = \sqrt{4 \times 591} = 2\sqrt{591} \]
\[ \sqrt{2364} \approx 48.620983 \]

What is the square root of 2364?

The square root of 2364 is 48.620983 (rounded to 6 decimal places). In simplest radical form it is 2√591.

Is 2364 a perfect square?

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

What is 2364 squared?

2364 × 2364 = 5588496.

What is the square root of 2364 rounded to 2 decimals?

48.62.