Square root of 3856

The square root of 3856 is 62.096699 (rounded to 6 decimal places). In simplest radical form it is 4√241.

Square root of 3856

Pick any whole number from 1 to 10,000.

\sqrt{3856} = 4\sqrt{241} \approx 62.096699

How to work it out

1
The square root of 3856 is the number that multiplied by itself gives 3856.
2
3856 is between the perfect squares 62² = 3844 and 63² = 3969, so its square root is between 62 and 63.
3
Pull out the biggest square factor: 3856 = 16 × 241, so
$\sqrt{3856} = \sqrt{16 \times 241} = 4\sqrt{241}$
4
A calculator, or long division of digits, gives
$\sqrt{3856} \approx 62.096699$

LaTeX source of the formulas on this page

\[ \sqrt{3856} = 4\sqrt{241} \approx 62.096699 \]
\[ \sqrt{3856} = \sqrt{16 \times 241} = 4\sqrt{241} \]
\[ \sqrt{3856} \approx 62.096699 \]

What is the square root of 3856?

The square root of 3856 is 62.096699 (rounded to 6 decimal places). In simplest radical form it is 4√241.

Is 3856 a perfect square?

No. It lies between 62² = 3844 and 63² = 3969.

What is 3856 squared?

3856 × 3856 = 14868736.

What is the square root of 3856 rounded to 2 decimals?

62.10.