Square root of 9625

The square root of 9625 is 98.107084 (rounded to 6 decimal places). In simplest radical form it is 5√385.

Square root of 9625

Pick any whole number from 1 to 10,000.

\sqrt{9625} = 5\sqrt{385} \approx 98.107084

How to work it out

1
The square root of 9625 is the number that multiplied by itself gives 9625.
2
9625 is between the perfect squares 98² = 9604 and 99² = 9801, so its square root is between 98 and 99.
3
Pull out the biggest square factor: 9625 = 25 × 385, so
$\sqrt{9625} = \sqrt{25 \times 385} = 5\sqrt{385}$
4
A calculator, or long division of digits, gives
$\sqrt{9625} \approx 98.107084$

LaTeX source of the formulas on this page

\[ \sqrt{9625} = 5\sqrt{385} \approx 98.107084 \]
\[ \sqrt{9625} = \sqrt{25 \times 385} = 5\sqrt{385} \]
\[ \sqrt{9625} \approx 98.107084 \]

What is the square root of 9625?

The square root of 9625 is 98.107084 (rounded to 6 decimal places). In simplest radical form it is 5√385.

Is 9625 a perfect square?

No. It lies between 98² = 9604 and 99² = 9801.

What is 9625 squared?

9625 × 9625 = 92640625.

What is the square root of 9625 rounded to 2 decimals?

98.11.