Square root of 9952

The square root of 9952 is 99.759711 (rounded to 6 decimal places). In simplest radical form it is 4√622.

Square root of 9952

Pick any whole number from 1 to 10,000.

\sqrt{9952} = 4\sqrt{622} \approx 99.759711

How to work it out

1
The square root of 9952 is the number that multiplied by itself gives 9952.
2
9952 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: 9952 = 16 × 622, so
$\sqrt{9952} = \sqrt{16 \times 622} = 4\sqrt{622}$
4
A calculator, or long division of digits, gives
$\sqrt{9952} \approx 99.759711$

LaTeX source of the formulas on this page

\[ \sqrt{9952} = 4\sqrt{622} \approx 99.759711 \]
\[ \sqrt{9952} = \sqrt{16 \times 622} = 4\sqrt{622} \]
\[ \sqrt{9952} \approx 99.759711 \]

What is the square root of 9952?

The square root of 9952 is 99.759711 (rounded to 6 decimal places). In simplest radical form it is 4√622.

Is 9952 a perfect square?

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

What is 9952 squared?

9952 × 9952 = 99042304.

What is the square root of 9952 rounded to 2 decimals?

99.76.