Square root of 4276

The square root of 4276 is 65.391131 (rounded to 6 decimal places). In simplest radical form it is 2√1069.

Square root of 4276

Pick any whole number from 1 to 10,000.

\sqrt{4276} = 2\sqrt{1069} \approx 65.391131

How to work it out

1
The square root of 4276 is the number that multiplied by itself gives 4276.
2
4276 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: 4276 = 4 × 1069, so
$\sqrt{4276} = \sqrt{4 \times 1069} = 2\sqrt{1069}$
4
A calculator, or long division of digits, gives
$\sqrt{4276} \approx 65.391131$

LaTeX source of the formulas on this page

\[ \sqrt{4276} = 2\sqrt{1069} \approx 65.391131 \]
\[ \sqrt{4276} = \sqrt{4 \times 1069} = 2\sqrt{1069} \]
\[ \sqrt{4276} \approx 65.391131 \]

What is the square root of 4276?

The square root of 4276 is 65.391131 (rounded to 6 decimal places). In simplest radical form it is 2√1069.

Is 4276 a perfect square?

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

What is 4276 squared?

4276 × 4276 = 18284176.

What is the square root of 4276 rounded to 2 decimals?

65.39.