Square root of 9968

The square root of 9968 is 99.839872 (rounded to 6 decimal places). In simplest radical form it is 4√623.

Square root of 9968

Pick any whole number from 1 to 10,000.

\sqrt{9968} = 4\sqrt{623} \approx 99.839872

How to work it out

1
The square root of 9968 is the number that multiplied by itself gives 9968.
2
9968 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: 9968 = 16 × 623, so
$\sqrt{9968} = \sqrt{16 \times 623} = 4\sqrt{623}$
4
A calculator, or long division of digits, gives
$\sqrt{9968} \approx 99.839872$

LaTeX source of the formulas on this page

\[ \sqrt{9968} = 4\sqrt{623} \approx 99.839872 \]
\[ \sqrt{9968} = \sqrt{16 \times 623} = 4\sqrt{623} \]
\[ \sqrt{9968} \approx 99.839872 \]

What is the square root of 9968?

The square root of 9968 is 99.839872 (rounded to 6 decimal places). In simplest radical form it is 4√623.

Is 9968 a perfect square?

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

What is 9968 squared?

9968 × 9968 = 99361024.

What is the square root of 9968 rounded to 2 decimals?

99.84.