Square root of 9072

The square root of 9072 is 95.247047 (rounded to 6 decimal places). In simplest radical form it is 36√7.

Square root of 9072

Pick any whole number from 1 to 10,000.

\sqrt{9072} = 36\sqrt{7} \approx 95.247047

How to work it out

1
The square root of 9072 is the number that multiplied by itself gives 9072.
2
9072 is between the perfect squares 95² = 9025 and 96² = 9216, so its square root is between 95 and 96.
3
Pull out the biggest square factor: 9072 = 1296 × 7, so
$\sqrt{9072} = \sqrt{1296 \times 7} = 36\sqrt{7}$
4
A calculator, or long division of digits, gives
$\sqrt{9072} \approx 95.247047$

LaTeX source of the formulas on this page

\[ \sqrt{9072} = 36\sqrt{7} \approx 95.247047 \]
\[ \sqrt{9072} = \sqrt{1296 \times 7} = 36\sqrt{7} \]
\[ \sqrt{9072} \approx 95.247047 \]

What is the square root of 9072?

The square root of 9072 is 95.247047 (rounded to 6 decimal places). In simplest radical form it is 36√7.

Is 9072 a perfect square?

No. It lies between 95² = 9025 and 96² = 9216.

What is 9072 squared?

9072 × 9072 = 82301184.

What is the square root of 9072 rounded to 2 decimals?

95.25.