Square root of 9600

The square root of 9600 is 97.97959 (rounded to 6 decimal places). In simplest radical form it is 40√6.

Square root of 9600

Pick any whole number from 1 to 10,000.

\sqrt{9600} = 40\sqrt{6} \approx 97.97959

How to work it out

1
The square root of 9600 is the number that multiplied by itself gives 9600.
2
9600 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9600 = 1600 × 6, so
$\sqrt{9600} = \sqrt{1600 \times 6} = 40\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{9600} \approx 97.97959$

LaTeX source of the formulas on this page

\[ \sqrt{9600} = 40\sqrt{6} \approx 97.97959 \]
\[ \sqrt{9600} = \sqrt{1600 \times 6} = 40\sqrt{6} \]
\[ \sqrt{9600} \approx 97.97959 \]

What is the square root of 9600?

The square root of 9600 is 97.97959 (rounded to 6 decimal places). In simplest radical form it is 40√6.

Is 9600 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9600 squared?

9600 × 9600 = 92160000.

What is the square root of 9600 rounded to 2 decimals?

97.98.