Square root of 9772

The square root of 9772 is 98.853427 (rounded to 6 decimal places). In simplest radical form it is 2√2443.

Square root of 9772

Pick any whole number from 1 to 10,000.

\sqrt{9772} = 2\sqrt{2443} \approx 98.853427

How to work it out

1
The square root of 9772 is the number that multiplied by itself gives 9772.
2
9772 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: 9772 = 4 × 2443, so
$\sqrt{9772} = \sqrt{4 \times 2443} = 2\sqrt{2443}$
4
A calculator, or long division of digits, gives
$\sqrt{9772} \approx 98.853427$

LaTeX source of the formulas on this page

\[ \sqrt{9772} = 2\sqrt{2443} \approx 98.853427 \]
\[ \sqrt{9772} = \sqrt{4 \times 2443} = 2\sqrt{2443} \]
\[ \sqrt{9772} \approx 98.853427 \]

What is the square root of 9772?

The square root of 9772 is 98.853427 (rounded to 6 decimal places). In simplest radical form it is 2√2443.

Is 9772 a perfect square?

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

What is 9772 squared?

9772 × 9772 = 95491984.

What is the square root of 9772 rounded to 2 decimals?

98.85.