Square root of 9760

The square root of 9760 is 98.792712 (rounded to 6 decimal places). In simplest radical form it is 4√610.

Square root of 9760

Pick any whole number from 1 to 10,000.

\sqrt{9760} = 4\sqrt{610} \approx 98.792712

How to work it out

1
The square root of 9760 is the number that multiplied by itself gives 9760.
2
9760 is between the perfect squares 98² = 9604 and 99² = 9801, so its square root is between 98 and 99.
3
Pull out the biggest square factor: 9760 = 16 × 610, so
$\sqrt{9760} = \sqrt{16 \times 610} = 4\sqrt{610}$
4
A calculator, or long division of digits, gives
$\sqrt{9760} \approx 98.792712$

LaTeX source of the formulas on this page

\[ \sqrt{9760} = 4\sqrt{610} \approx 98.792712 \]
\[ \sqrt{9760} = \sqrt{16 \times 610} = 4\sqrt{610} \]
\[ \sqrt{9760} \approx 98.792712 \]

What is the square root of 9760?

The square root of 9760 is 98.792712 (rounded to 6 decimal places). In simplest radical form it is 4√610.

Is 9760 a perfect square?

No. It lies between 98² = 9604 and 99² = 9801.

What is 9760 squared?

9760 × 9760 = 95257600.

What is the square root of 9760 rounded to 2 decimals?

98.79.