Square root of 1791

The square root of 1791 is 42.320208 (rounded to 6 decimal places). In simplest radical form it is 3√199.

Square root of 1791

Pick any whole number from 1 to 10,000.

\sqrt{1791} = 3\sqrt{199} \approx 42.320208

How to work it out

1
The square root of 1791 is the number that multiplied by itself gives 1791.
2
1791 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: 1791 = 9 × 199, so
$\sqrt{1791} = \sqrt{9 \times 199} = 3\sqrt{199}$
4
A calculator, or long division of digits, gives
$\sqrt{1791} \approx 42.320208$

LaTeX source of the formulas on this page

\[ \sqrt{1791} = 3\sqrt{199} \approx 42.320208 \]
\[ \sqrt{1791} = \sqrt{9 \times 199} = 3\sqrt{199} \]
\[ \sqrt{1791} \approx 42.320208 \]

What is the square root of 1791?

The square root of 1791 is 42.320208 (rounded to 6 decimal places). In simplest radical form it is 3√199.

Is 1791 a perfect square?

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

What is 1791 squared?

1791 × 1791 = 3207681.

What is the square root of 1791 rounded to 2 decimals?

42.32.