Square root of 9225

The square root of 9225 is 96.046864 (rounded to 6 decimal places). In simplest radical form it is 15√41.

Square root of 9225

Pick any whole number from 1 to 10,000.

\sqrt{9225} = 15\sqrt{41} \approx 96.046864

How to work it out

1
The square root of 9225 is the number that multiplied by itself gives 9225.
2
9225 is between the perfect squares 96² = 9216 and 97² = 9409, so its square root is between 96 and 97.
3
Pull out the biggest square factor: 9225 = 225 × 41, so
$\sqrt{9225} = \sqrt{225 \times 41} = 15\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{9225} \approx 96.046864$

LaTeX source of the formulas on this page

\[ \sqrt{9225} = 15\sqrt{41} \approx 96.046864 \]
\[ \sqrt{9225} = \sqrt{225 \times 41} = 15\sqrt{41} \]
\[ \sqrt{9225} \approx 96.046864 \]

What is the square root of 9225?

The square root of 9225 is 96.046864 (rounded to 6 decimal places). In simplest radical form it is 15√41.

Is 9225 a perfect square?

No. It lies between 96² = 9216 and 97² = 9409.

What is 9225 squared?

9225 × 9225 = 85100625.

What is the square root of 9225 rounded to 2 decimals?

96.05.