Square root of 2352

The square root of 2352 is 48.497423 (rounded to 6 decimal places). In simplest radical form it is 28√3.

Square root of 2352

Pick any whole number from 1 to 10,000.

\sqrt{2352} = 28\sqrt{3} \approx 48.497423

How to work it out

1
The square root of 2352 is the number that multiplied by itself gives 2352.
2
2352 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: 2352 = 784 × 3, so
$\sqrt{2352} = \sqrt{784 \times 3} = 28\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{2352} \approx 48.497423$

LaTeX source of the formulas on this page

\[ \sqrt{2352} = 28\sqrt{3} \approx 48.497423 \]
\[ \sqrt{2352} = \sqrt{784 \times 3} = 28\sqrt{3} \]
\[ \sqrt{2352} \approx 48.497423 \]

What is the square root of 2352?

The square root of 2352 is 48.497423 (rounded to 6 decimal places). In simplest radical form it is 28√3.

Is 2352 a perfect square?

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

What is 2352 squared?

2352 × 2352 = 5531904.

What is the square root of 2352 rounded to 2 decimals?

48.50.