Square root of 9245

The square root of 9245 is 96.150923 (rounded to 6 decimal places). In simplest radical form it is 43√5.

Square root of 9245

Pick any whole number from 1 to 10,000.

\sqrt{9245} = 43\sqrt{5} \approx 96.150923

How to work it out

1
The square root of 9245 is the number that multiplied by itself gives 9245.
2
9245 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: 9245 = 1849 × 5, so
$\sqrt{9245} = \sqrt{1849 \times 5} = 43\sqrt{5}$
4
A calculator, or long division of digits, gives
$\sqrt{9245} \approx 96.150923$

LaTeX source of the formulas on this page

\[ \sqrt{9245} = 43\sqrt{5} \approx 96.150923 \]
\[ \sqrt{9245} = \sqrt{1849 \times 5} = 43\sqrt{5} \]
\[ \sqrt{9245} \approx 96.150923 \]

What is the square root of 9245?

The square root of 9245 is 96.150923 (rounded to 6 decimal places). In simplest radical form it is 43√5.

Is 9245 a perfect square?

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

What is 9245 squared?

9245 × 9245 = 85470025.

What is the square root of 9245 rounded to 2 decimals?

96.15.