Square root of 9666

The square root of 9666 is 98.315818 (rounded to 6 decimal places). In simplest radical form it is 3√1074.

Square root of 9666

Pick any whole number from 1 to 10,000.

\sqrt{9666} = 3\sqrt{1074} \approx 98.315818

How to work it out

1
The square root of 9666 is the number that multiplied by itself gives 9666.
2
9666 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: 9666 = 9 × 1074, so
$\sqrt{9666} = \sqrt{9 \times 1074} = 3\sqrt{1074}$
4
A calculator, or long division of digits, gives
$\sqrt{9666} \approx 98.315818$

LaTeX source of the formulas on this page

\[ \sqrt{9666} = 3\sqrt{1074} \approx 98.315818 \]
\[ \sqrt{9666} = \sqrt{9 \times 1074} = 3\sqrt{1074} \]
\[ \sqrt{9666} \approx 98.315818 \]

What is the square root of 9666?

The square root of 9666 is 98.315818 (rounded to 6 decimal places). In simplest radical form it is 3√1074.

Is 9666 a perfect square?

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

What is 9666 squared?

9666 × 9666 = 93431556.

What is the square root of 9666 rounded to 2 decimals?

98.32.