Square root of 4296

The square root of 4296 is 65.543878 (rounded to 6 decimal places). In simplest radical form it is 2√1074.

Square root of 4296

Pick any whole number from 1 to 10,000.

\sqrt{4296} = 2\sqrt{1074} \approx 65.543878

How to work it out

1
The square root of 4296 is the number that multiplied by itself gives 4296.
2
4296 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: 4296 = 4 × 1074, so
$\sqrt{4296} = \sqrt{4 \times 1074} = 2\sqrt{1074}$
4
A calculator, or long division of digits, gives
$\sqrt{4296} \approx 65.543878$

LaTeX source of the formulas on this page

\[ \sqrt{4296} = 2\sqrt{1074} \approx 65.543878 \]
\[ \sqrt{4296} = \sqrt{4 \times 1074} = 2\sqrt{1074} \]
\[ \sqrt{4296} \approx 65.543878 \]

What is the square root of 4296?

The square root of 4296 is 65.543878 (rounded to 6 decimal places). In simplest radical form it is 2√1074.

Is 4296 a perfect square?

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

What is 4296 squared?

4296 × 4296 = 18455616.

What is the square root of 4296 rounded to 2 decimals?

65.54.