Square root of 3164

The square root of 3164 is 56.249444 (rounded to 6 decimal places). In simplest radical form it is 2√791.

Square root of 3164

Pick any whole number from 1 to 10,000.

\sqrt{3164} = 2\sqrt{791} \approx 56.249444

How to work it out

1
The square root of 3164 is the number that multiplied by itself gives 3164.
2
3164 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: 3164 = 4 × 791, so
$\sqrt{3164} = \sqrt{4 \times 791} = 2\sqrt{791}$
4
A calculator, or long division of digits, gives
$\sqrt{3164} \approx 56.249444$

LaTeX source of the formulas on this page

\[ \sqrt{3164} = 2\sqrt{791} \approx 56.249444 \]
\[ \sqrt{3164} = \sqrt{4 \times 791} = 2\sqrt{791} \]
\[ \sqrt{3164} \approx 56.249444 \]

What is the square root of 3164?

The square root of 3164 is 56.249444 (rounded to 6 decimal places). In simplest radical form it is 2√791.

Is 3164 a perfect square?

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

What is 3164 squared?

3164 × 3164 = 10010896.

What is the square root of 3164 rounded to 2 decimals?

56.25.