Square root of 1872

The square root of 1872 is 43.266615 (rounded to 6 decimal places). In simplest radical form it is 12√13.

Square root of 1872

Pick any whole number from 1 to 10,000.

\sqrt{1872} = 12\sqrt{13} \approx 43.266615

How to work it out

1
The square root of 1872 is the number that multiplied by itself gives 1872.
2
1872 is between the perfect squares 43² = 1849 and 44² = 1936, so its square root is between 43 and 44.
3
Pull out the biggest square factor: 1872 = 144 × 13, so
$\sqrt{1872} = \sqrt{144 \times 13} = 12\sqrt{13}$
4
A calculator, or long division of digits, gives
$\sqrt{1872} \approx 43.266615$

LaTeX source of the formulas on this page

\[ \sqrt{1872} = 12\sqrt{13} \approx 43.266615 \]
\[ \sqrt{1872} = \sqrt{144 \times 13} = 12\sqrt{13} \]
\[ \sqrt{1872} \approx 43.266615 \]

What is the square root of 1872?

The square root of 1872 is 43.266615 (rounded to 6 decimal places). In simplest radical form it is 12√13.

Is 1872 a perfect square?

No. It lies between 43² = 1849 and 44² = 1936.

What is 1872 squared?

1872 × 1872 = 3504384.

What is the square root of 1872 rounded to 2 decimals?

43.27.