Square root of 3834

The square root of 3834 is 61.919302 (rounded to 6 decimal places). In simplest radical form it is 3√426.

Square root of 3834

Pick any whole number from 1 to 10,000.

\sqrt{3834} = 3\sqrt{426} \approx 61.919302

How to work it out

1
The square root of 3834 is the number that multiplied by itself gives 3834.
2
3834 is between the perfect squares 61² = 3721 and 62² = 3844, so its square root is between 61 and 62.
3
Pull out the biggest square factor: 3834 = 9 × 426, so
$\sqrt{3834} = \sqrt{9 \times 426} = 3\sqrt{426}$
4
A calculator, or long division of digits, gives
$\sqrt{3834} \approx 61.919302$

LaTeX source of the formulas on this page

\[ \sqrt{3834} = 3\sqrt{426} \approx 61.919302 \]
\[ \sqrt{3834} = \sqrt{9 \times 426} = 3\sqrt{426} \]
\[ \sqrt{3834} \approx 61.919302 \]

What is the square root of 3834?

The square root of 3834 is 61.919302 (rounded to 6 decimal places). In simplest radical form it is 3√426.

Is 3834 a perfect square?

No. It lies between 61² = 3721 and 62² = 3844.

What is 3834 squared?

3834 × 3834 = 14699556.

What is the square root of 3834 rounded to 2 decimals?

61.92.