Square root of 4288

The square root of 4288 is 65.482822 (rounded to 6 decimal places). In simplest radical form it is 8√67.

Square root of 4288

Pick any whole number from 1 to 10,000.

\sqrt{4288} = 8\sqrt{67} \approx 65.482822

How to work it out

1
The square root of 4288 is the number that multiplied by itself gives 4288.
2
4288 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4288 = 64 × 67, so
$\sqrt{4288} = \sqrt{64 \times 67} = 8\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{4288} \approx 65.482822$

LaTeX source of the formulas on this page

\[ \sqrt{4288} = 8\sqrt{67} \approx 65.482822 \]
\[ \sqrt{4288} = \sqrt{64 \times 67} = 8\sqrt{67} \]
\[ \sqrt{4288} \approx 65.482822 \]

What is the square root of 4288?

The square root of 4288 is 65.482822 (rounded to 6 decimal places). In simplest radical form it is 8√67.

Is 4288 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4288 squared?

4288 × 4288 = 18386944.

What is the square root of 4288 rounded to 2 decimals?

65.48.