Square root of 9988

The square root of 9988 is 99.939982 (rounded to 6 decimal places). In simplest radical form it is 2√2497.

Square root of 9988

Pick any whole number from 1 to 10,000.

\sqrt{9988} = 2\sqrt{2497} \approx 99.939982

How to work it out

1
The square root of 9988 is the number that multiplied by itself gives 9988.
2
9988 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: 9988 = 4 × 2497, so
$\sqrt{9988} = \sqrt{4 \times 2497} = 2\sqrt{2497}$
4
A calculator, or long division of digits, gives
$\sqrt{9988} \approx 99.939982$

LaTeX source of the formulas on this page

\[ \sqrt{9988} = 2\sqrt{2497} \approx 99.939982 \]
\[ \sqrt{9988} = \sqrt{4 \times 2497} = 2\sqrt{2497} \]
\[ \sqrt{9988} \approx 99.939982 \]

What is the square root of 9988?

The square root of 9988 is 99.939982 (rounded to 6 decimal places). In simplest radical form it is 2√2497.

Is 9988 a perfect square?

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

What is 9988 squared?

9988 × 9988 = 99760144.

What is the square root of 9988 rounded to 2 decimals?

99.94.