Square root of 3208

The square root of 3208 is 56.639209 (rounded to 6 decimal places). In simplest radical form it is 2√802.

Square root of 3208

Pick any whole number from 1 to 10,000.

\sqrt{3208} = 2\sqrt{802} \approx 56.639209

How to work it out

1
The square root of 3208 is the number that multiplied by itself gives 3208.
2
3208 is between the perfect squares 56² = 3136 and 57² = 3249, so its square root is between 56 and 57.
3
Pull out the biggest square factor: 3208 = 4 × 802, so
$\sqrt{3208} = \sqrt{4 \times 802} = 2\sqrt{802}$
4
A calculator, or long division of digits, gives
$\sqrt{3208} \approx 56.639209$

LaTeX source of the formulas on this page

\[ \sqrt{3208} = 2\sqrt{802} \approx 56.639209 \]
\[ \sqrt{3208} = \sqrt{4 \times 802} = 2\sqrt{802} \]
\[ \sqrt{3208} \approx 56.639209 \]

What is the square root of 3208?

The square root of 3208 is 56.639209 (rounded to 6 decimal places). In simplest radical form it is 2√802.

Is 3208 a perfect square?

No. It lies between 56² = 3136 and 57² = 3249.

What is 3208 squared?

3208 × 3208 = 10291264.

What is the square root of 3208 rounded to 2 decimals?

56.64.