Square root of 4160

The square root of 4160 is 64.498062 (rounded to 6 decimal places). In simplest radical form it is 8√65.

Square root of 4160

Pick any whole number from 1 to 10,000.

\sqrt{4160} = 8\sqrt{65} \approx 64.498062

How to work it out

1
The square root of 4160 is the number that multiplied by itself gives 4160.
2
4160 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: 4160 = 64 × 65, so
$\sqrt{4160} = \sqrt{64 \times 65} = 8\sqrt{65}$
4
A calculator, or long division of digits, gives
$\sqrt{4160} \approx 64.498062$

LaTeX source of the formulas on this page

\[ \sqrt{4160} = 8\sqrt{65} \approx 64.498062 \]
\[ \sqrt{4160} = \sqrt{64 \times 65} = 8\sqrt{65} \]
\[ \sqrt{4160} \approx 64.498062 \]

What is the square root of 4160?

The square root of 4160 is 64.498062 (rounded to 6 decimal places). In simplest radical form it is 8√65.

Is 4160 a perfect square?

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

What is 4160 squared?

4160 × 4160 = 17305600.

What is the square root of 4160 rounded to 2 decimals?

64.50.