Square root of 1813

The square root of 1813 is 42.579338 (rounded to 6 decimal places). In simplest radical form it is 7√37.

Square root of 1813

Pick any whole number from 1 to 10,000.

\sqrt{1813} = 7\sqrt{37} \approx 42.579338

How to work it out

1
The square root of 1813 is the number that multiplied by itself gives 1813.
2
1813 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: 1813 = 49 × 37, so
$\sqrt{1813} = \sqrt{49 \times 37} = 7\sqrt{37}$
4
A calculator, or long division of digits, gives
$\sqrt{1813} \approx 42.579338$

LaTeX source of the formulas on this page

\[ \sqrt{1813} = 7\sqrt{37} \approx 42.579338 \]
\[ \sqrt{1813} = \sqrt{49 \times 37} = 7\sqrt{37} \]
\[ \sqrt{1813} \approx 42.579338 \]

What is the square root of 1813?

The square root of 1813 is 42.579338 (rounded to 6 decimal places). In simplest radical form it is 7√37.

Is 1813 a perfect square?

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

What is 1813 squared?

1813 × 1813 = 3286969.

What is the square root of 1813 rounded to 2 decimals?

42.58.