Square root of 981

The square root of 981 is 31.32092 (rounded to 6 decimal places). In simplest radical form it is 3√109.

Square root of 981

Pick any whole number from 1 to 10,000.

\sqrt{981} = 3\sqrt{109} \approx 31.32092

How to work it out

1
The square root of 981 is the number that multiplied by itself gives 981.
2
981 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.
3
Pull out the biggest square factor: 981 = 9 × 109, so
$\sqrt{981} = \sqrt{9 \times 109} = 3\sqrt{109}$
4
A calculator, or long division of digits, gives
$\sqrt{981} \approx 31.32092$

LaTeX source of the formulas on this page

\[ \sqrt{981} = 3\sqrt{109} \approx 31.32092 \]
\[ \sqrt{981} = \sqrt{9 \times 109} = 3\sqrt{109} \]
\[ \sqrt{981} \approx 31.32092 \]

What is the square root of 981?

The square root of 981 is 31.32092 (rounded to 6 decimal places). In simplest radical form it is 3√109.

Is 981 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 981 squared?

981 × 981 = 962361.

What is the square root of 981 rounded to 2 decimals?

31.32.