Square root of 3904

The square root of 3904 is 62.481997 (rounded to 6 decimal places). In simplest radical form it is 8√61.

Square root of 3904

Pick any whole number from 1 to 10,000.

\sqrt{3904} = 8\sqrt{61} \approx 62.481997

How to work it out

1
The square root of 3904 is the number that multiplied by itself gives 3904.
2
3904 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: 3904 = 64 × 61, so
$\sqrt{3904} = \sqrt{64 \times 61} = 8\sqrt{61}$
4
A calculator, or long division of digits, gives
$\sqrt{3904} \approx 62.481997$

LaTeX source of the formulas on this page

\[ \sqrt{3904} = 8\sqrt{61} \approx 62.481997 \]
\[ \sqrt{3904} = \sqrt{64 \times 61} = 8\sqrt{61} \]
\[ \sqrt{3904} \approx 62.481997 \]

What is the square root of 3904?

The square root of 3904 is 62.481997 (rounded to 6 decimal places). In simplest radical form it is 8√61.

Is 3904 a perfect square?

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

What is 3904 squared?

3904 × 3904 = 15241216.

What is the square root of 3904 rounded to 2 decimals?

62.48.