Square root of 9925

The square root of 9925 is 99.624294 (rounded to 6 decimal places). In simplest radical form it is 5√397.

Square root of 9925

Pick any whole number from 1 to 10,000.

\sqrt{9925} = 5\sqrt{397} \approx 99.624294

How to work it out

1
The square root of 9925 is the number that multiplied by itself gives 9925.
2
9925 is between the perfect squares 99² = 9801 and 100² = 10000, so its square root is between 99 and 100.
3
Pull out the biggest square factor: 9925 = 25 × 397, so
$\sqrt{9925} = \sqrt{25 \times 397} = 5\sqrt{397}$
4
A calculator, or long division of digits, gives
$\sqrt{9925} \approx 99.624294$

LaTeX source of the formulas on this page

\[ \sqrt{9925} = 5\sqrt{397} \approx 99.624294 \]
\[ \sqrt{9925} = \sqrt{25 \times 397} = 5\sqrt{397} \]
\[ \sqrt{9925} \approx 99.624294 \]

What is the square root of 9925?

The square root of 9925 is 99.624294 (rounded to 6 decimal places). In simplest radical form it is 5√397.

Is 9925 a perfect square?

No. It lies between 99² = 9801 and 100² = 10000.

What is 9925 squared?

9925 × 9925 = 98505625.

What is the square root of 9925 rounded to 2 decimals?

99.62.