Square root of 4204

The square root of 4204 is 64.83826 (rounded to 6 decimal places). In simplest radical form it is 2√1051.

Square root of 4204

Pick any whole number from 1 to 10,000.

\sqrt{4204} = 2\sqrt{1051} \approx 64.83826

How to work it out

1
The square root of 4204 is the number that multiplied by itself gives 4204.
2
4204 is between the perfect squares 64² = 4096 and 65² = 4225, so its square root is between 64 and 65.
3
Pull out the biggest square factor: 4204 = 4 × 1051, so
$\sqrt{4204} = \sqrt{4 \times 1051} = 2\sqrt{1051}$
4
A calculator, or long division of digits, gives
$\sqrt{4204} \approx 64.83826$

LaTeX source of the formulas on this page

\[ \sqrt{4204} = 2\sqrt{1051} \approx 64.83826 \]
\[ \sqrt{4204} = \sqrt{4 \times 1051} = 2\sqrt{1051} \]
\[ \sqrt{4204} \approx 64.83826 \]

What is the square root of 4204?

The square root of 4204 is 64.83826 (rounded to 6 decimal places). In simplest radical form it is 2√1051.

Is 4204 a perfect square?

No. It lies between 64² = 4096 and 65² = 4225.

What is 4204 squared?

4204 × 4204 = 17673616.

What is the square root of 4204 rounded to 2 decimals?

64.84.