Square root of 7296

The square root of 7296 is 85.416626 (rounded to 6 decimal places). In simplest radical form it is 8√114.

Square root of 7296

Pick any whole number from 1 to 10,000.

\sqrt{7296} = 8\sqrt{114} \approx 85.416626

How to work it out

1
The square root of 7296 is the number that multiplied by itself gives 7296.
2
7296 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7296 = 64 × 114, so
$\sqrt{7296} = \sqrt{64 \times 114} = 8\sqrt{114}$
4
A calculator, or long division of digits, gives
$\sqrt{7296} \approx 85.416626$

LaTeX source of the formulas on this page

\[ \sqrt{7296} = 8\sqrt{114} \approx 85.416626 \]
\[ \sqrt{7296} = \sqrt{64 \times 114} = 8\sqrt{114} \]
\[ \sqrt{7296} \approx 85.416626 \]

What is the square root of 7296?

The square root of 7296 is 85.416626 (rounded to 6 decimal places). In simplest radical form it is 8√114.

Is 7296 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7296 squared?

7296 × 7296 = 53231616.

What is the square root of 7296 rounded to 2 decimals?

85.42.