Square root of 1796

The square root of 1796 is 42.37924 (rounded to 6 decimal places). In simplest radical form it is 2√449.

Square root of 1796

Pick any whole number from 1 to 10,000.

\sqrt{1796} = 2\sqrt{449} \approx 42.37924

How to work it out

1
The square root of 1796 is the number that multiplied by itself gives 1796.
2
1796 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: 1796 = 4 × 449, so
$\sqrt{1796} = \sqrt{4 \times 449} = 2\sqrt{449}$
4
A calculator, or long division of digits, gives
$\sqrt{1796} \approx 42.37924$

LaTeX source of the formulas on this page

\[ \sqrt{1796} = 2\sqrt{449} \approx 42.37924 \]
\[ \sqrt{1796} = \sqrt{4 \times 449} = 2\sqrt{449} \]
\[ \sqrt{1796} \approx 42.37924 \]

What is the square root of 1796?

The square root of 1796 is 42.37924 (rounded to 6 decimal places). In simplest radical form it is 2√449.

Is 1796 a perfect square?

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

What is 1796 squared?

1796 × 1796 = 3225616.

What is the square root of 1796 rounded to 2 decimals?

42.38.