Square root of 9852

The square root of 9852 is 99.257242 (rounded to 6 decimal places). In simplest radical form it is 2√2463.

Square root of 9852

Pick any whole number from 1 to 10,000.

\sqrt{9852} = 2\sqrt{2463} \approx 99.257242

How to work it out

1
The square root of 9852 is the number that multiplied by itself gives 9852.
2
9852 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: 9852 = 4 × 2463, so
$\sqrt{9852} = \sqrt{4 \times 2463} = 2\sqrt{2463}$
4
A calculator, or long division of digits, gives
$\sqrt{9852} \approx 99.257242$

LaTeX source of the formulas on this page

\[ \sqrt{9852} = 2\sqrt{2463} \approx 99.257242 \]
\[ \sqrt{9852} = \sqrt{4 \times 2463} = 2\sqrt{2463} \]
\[ \sqrt{9852} \approx 99.257242 \]

What is the square root of 9852?

The square root of 9852 is 99.257242 (rounded to 6 decimal places). In simplest radical form it is 2√2463.

Is 9852 a perfect square?

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

What is 9852 squared?

9852 × 9852 = 97061904.

What is the square root of 9852 rounded to 2 decimals?

99.26.