Square root of 1824

The square root of 1824 is 42.708313 (rounded to 6 decimal places). In simplest radical form it is 4√114.

Square root of 1824

Pick any whole number from 1 to 10,000.

\sqrt{1824} = 4\sqrt{114} \approx 42.708313

How to work it out

1
The square root of 1824 is the number that multiplied by itself gives 1824.
2
1824 is between the perfect squares 42² = 1764 and 43² = 1849, so its square root is between 42 and 43.
3
Pull out the biggest square factor: 1824 = 16 × 114, so
$\sqrt{1824} = \sqrt{16 \times 114} = 4\sqrt{114}$
4
A calculator, or long division of digits, gives
$\sqrt{1824} \approx 42.708313$

LaTeX source of the formulas on this page

\[ \sqrt{1824} = 4\sqrt{114} \approx 42.708313 \]
\[ \sqrt{1824} = \sqrt{16 \times 114} = 4\sqrt{114} \]
\[ \sqrt{1824} \approx 42.708313 \]

What is the square root of 1824?

The square root of 1824 is 42.708313 (rounded to 6 decimal places). In simplest radical form it is 4√114.

Is 1824 a perfect square?

No. It lies between 42² = 1764 and 43² = 1849.

What is 1824 squared?

1824 × 1824 = 3326976.

What is the square root of 1824 rounded to 2 decimals?

42.71.