Square root of 9500

The square root of 9500 is 97.467943 (rounded to 6 decimal places). In simplest radical form it is 10√95.

Square root of 9500

Pick any whole number from 1 to 10,000.

\sqrt{9500} = 10\sqrt{95} \approx 97.467943

How to work it out

1
The square root of 9500 is the number that multiplied by itself gives 9500.
2
9500 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9500 = 100 × 95, so
$\sqrt{9500} = \sqrt{100 \times 95} = 10\sqrt{95}$
4
A calculator, or long division of digits, gives
$\sqrt{9500} \approx 97.467943$

LaTeX source of the formulas on this page

\[ \sqrt{9500} = 10\sqrt{95} \approx 97.467943 \]
\[ \sqrt{9500} = \sqrt{100 \times 95} = 10\sqrt{95} \]
\[ \sqrt{9500} \approx 97.467943 \]

What is the square root of 9500?

The square root of 9500 is 97.467943 (rounded to 6 decimal places). In simplest radical form it is 10√95.

Is 9500 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9500 squared?

9500 × 9500 = 90250000.

What is the square root of 9500 rounded to 2 decimals?

97.47.