Square root of 9920

The square root of 9920 is 99.599197 (rounded to 6 decimal places). In simplest radical form it is 8√155.

Square root of 9920

Pick any whole number from 1 to 10,000.

\sqrt{9920} = 8\sqrt{155} \approx 99.599197

How to work it out

1
The square root of 9920 is the number that multiplied by itself gives 9920.
2
9920 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: 9920 = 64 × 155, so
$\sqrt{9920} = \sqrt{64 \times 155} = 8\sqrt{155}$
4
A calculator, or long division of digits, gives
$\sqrt{9920} \approx 99.599197$

LaTeX source of the formulas on this page

\[ \sqrt{9920} = 8\sqrt{155} \approx 99.599197 \]
\[ \sqrt{9920} = \sqrt{64 \times 155} = 8\sqrt{155} \]
\[ \sqrt{9920} \approx 99.599197 \]

What is the square root of 9920?

The square root of 9920 is 99.599197 (rounded to 6 decimal places). In simplest radical form it is 8√155.

Is 9920 a perfect square?

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

What is 9920 squared?

9920 × 9920 = 98406400.

What is the square root of 9920 rounded to 2 decimals?

99.60.