Square root of 3204

The square root of 3204 is 56.603887 (rounded to 6 decimal places). In simplest radical form it is 6√89.

Square root of 3204

Pick any whole number from 1 to 10,000.

\sqrt{3204} = 6\sqrt{89} \approx 56.603887

How to work it out

1
The square root of 3204 is the number that multiplied by itself gives 3204.
2
3204 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: 3204 = 36 × 89, so
$\sqrt{3204} = \sqrt{36 \times 89} = 6\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{3204} \approx 56.603887$

LaTeX source of the formulas on this page

\[ \sqrt{3204} = 6\sqrt{89} \approx 56.603887 \]
\[ \sqrt{3204} = \sqrt{36 \times 89} = 6\sqrt{89} \]
\[ \sqrt{3204} \approx 56.603887 \]

What is the square root of 3204?

The square root of 3204 is 56.603887 (rounded to 6 decimal places). In simplest radical form it is 6√89.

Is 3204 a perfect square?

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

What is 3204 squared?

3204 × 3204 = 10265616.

What is the square root of 3204 rounded to 2 decimals?

56.60.