Square root of 9250

The square root of 9250 is 96.17692 (rounded to 6 decimal places). In simplest radical form it is 5√370.

Square root of 9250

Pick any whole number from 1 to 10,000.

\sqrt{9250} = 5\sqrt{370} \approx 96.17692

How to work it out

1
The square root of 9250 is the number that multiplied by itself gives 9250.
2
9250 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: 9250 = 25 × 370, so
$\sqrt{9250} = \sqrt{25 \times 370} = 5\sqrt{370}$
4
A calculator, or long division of digits, gives
$\sqrt{9250} \approx 96.17692$

LaTeX source of the formulas on this page

\[ \sqrt{9250} = 5\sqrt{370} \approx 96.17692 \]
\[ \sqrt{9250} = \sqrt{25 \times 370} = 5\sqrt{370} \]
\[ \sqrt{9250} \approx 96.17692 \]

What is the square root of 9250?

The square root of 9250 is 96.17692 (rounded to 6 decimal places). In simplest radical form it is 5√370.

Is 9250 a perfect square?

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

What is 9250 squared?

9250 × 9250 = 85562500.

What is the square root of 9250 rounded to 2 decimals?

96.18.