Square root of 4256

The square root of 4256 is 65.238026 (rounded to 6 decimal places). In simplest radical form it is 4√266.

Square root of 4256

Pick any whole number from 1 to 10,000.

\sqrt{4256} = 4\sqrt{266} \approx 65.238026

How to work it out

1
The square root of 4256 is the number that multiplied by itself gives 4256.
2
4256 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: 4256 = 16 × 266, so
$\sqrt{4256} = \sqrt{16 \times 266} = 4\sqrt{266}$
4
A calculator, or long division of digits, gives
$\sqrt{4256} \approx 65.238026$

LaTeX source of the formulas on this page

\[ \sqrt{4256} = 4\sqrt{266} \approx 65.238026 \]
\[ \sqrt{4256} = \sqrt{16 \times 266} = 4\sqrt{266} \]
\[ \sqrt{4256} \approx 65.238026 \]

What is the square root of 4256?

The square root of 4256 is 65.238026 (rounded to 6 decimal places). In simplest radical form it is 4√266.

Is 4256 a perfect square?

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

What is 4256 squared?

4256 × 4256 = 18113536.

What is the square root of 4256 rounded to 2 decimals?

65.24.