Square root of 1808

The square root of 1808 is 42.520583 (rounded to 6 decimal places). In simplest radical form it is 4√113.

Square root of 1808

Pick any whole number from 1 to 10,000.

\sqrt{1808} = 4\sqrt{113} \approx 42.520583

How to work it out

1
The square root of 1808 is the number that multiplied by itself gives 1808.
2
1808 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: 1808 = 16 × 113, so
$\sqrt{1808} = \sqrt{16 \times 113} = 4\sqrt{113}$
4
A calculator, or long division of digits, gives
$\sqrt{1808} \approx 42.520583$

LaTeX source of the formulas on this page

\[ \sqrt{1808} = 4\sqrt{113} \approx 42.520583 \]
\[ \sqrt{1808} = \sqrt{16 \times 113} = 4\sqrt{113} \]
\[ \sqrt{1808} \approx 42.520583 \]

What is the square root of 1808?

The square root of 1808 is 42.520583 (rounded to 6 decimal places). In simplest radical form it is 4√113.

Is 1808 a perfect square?

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

What is 1808 squared?

1808 × 1808 = 3268864.

What is the square root of 1808 rounded to 2 decimals?

42.52.