Square root of 4264

The square root of 4264 is 65.299311 (rounded to 6 decimal places). In simplest radical form it is 2√1066.

Square root of 4264

Pick any whole number from 1 to 10,000.

\sqrt{4264} = 2\sqrt{1066} \approx 65.299311

How to work it out

1
The square root of 4264 is the number that multiplied by itself gives 4264.
2
4264 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: 4264 = 4 × 1066, so
$\sqrt{4264} = \sqrt{4 \times 1066} = 2\sqrt{1066}$
4
A calculator, or long division of digits, gives
$\sqrt{4264} \approx 65.299311$

LaTeX source of the formulas on this page

\[ \sqrt{4264} = 2\sqrt{1066} \approx 65.299311 \]
\[ \sqrt{4264} = \sqrt{4 \times 1066} = 2\sqrt{1066} \]
\[ \sqrt{4264} \approx 65.299311 \]

What is the square root of 4264?

The square root of 4264 is 65.299311 (rounded to 6 decimal places). In simplest radical form it is 2√1066.

Is 4264 a perfect square?

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

What is 4264 squared?

4264 × 4264 = 18181696.

What is the square root of 4264 rounded to 2 decimals?

65.30.