Square root of 3213

The square root of 3213 is 56.683331 (rounded to 6 decimal places). In simplest radical form it is 3√357.

Square root of 3213

Pick any whole number from 1 to 10,000.

\sqrt{3213} = 3\sqrt{357} \approx 56.683331

How to work it out

1
The square root of 3213 is the number that multiplied by itself gives 3213.
2
3213 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: 3213 = 9 × 357, so
$\sqrt{3213} = \sqrt{9 \times 357} = 3\sqrt{357}$
4
A calculator, or long division of digits, gives
$\sqrt{3213} \approx 56.683331$

LaTeX source of the formulas on this page

\[ \sqrt{3213} = 3\sqrt{357} \approx 56.683331 \]
\[ \sqrt{3213} = \sqrt{9 \times 357} = 3\sqrt{357} \]
\[ \sqrt{3213} \approx 56.683331 \]

What is the square root of 3213?

The square root of 3213 is 56.683331 (rounded to 6 decimal places). In simplest radical form it is 3√357.

Is 3213 a perfect square?

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

What is 3213 squared?

3213 × 3213 = 10323369.

What is the square root of 3213 rounded to 2 decimals?

56.68.