Square root of 4208

The square root of 4208 is 64.869099 (rounded to 6 decimal places). In simplest radical form it is 4√263.

Square root of 4208

Pick any whole number from 1 to 10,000.

\sqrt{4208} = 4\sqrt{263} \approx 64.869099

How to work it out

1
The square root of 4208 is the number that multiplied by itself gives 4208.
2
4208 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: 4208 = 16 × 263, so
$\sqrt{4208} = \sqrt{16 \times 263} = 4\sqrt{263}$
4
A calculator, or long division of digits, gives
$\sqrt{4208} \approx 64.869099$

LaTeX source of the formulas on this page

\[ \sqrt{4208} = 4\sqrt{263} \approx 64.869099 \]
\[ \sqrt{4208} = \sqrt{16 \times 263} = 4\sqrt{263} \]
\[ \sqrt{4208} \approx 64.869099 \]

What is the square root of 4208?

The square root of 4208 is 64.869099 (rounded to 6 decimal places). In simplest radical form it is 4√263.

Is 4208 a perfect square?

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

What is 4208 squared?

4208 × 4208 = 17707264.

What is the square root of 4208 rounded to 2 decimals?

64.87.