Square root of 9971

The square root of 9971 is 99.854895 (rounded to 6 decimal places). In simplest radical form it is 13√59.

Square root of 9971

Pick any whole number from 1 to 10,000.

\sqrt{9971} = 13\sqrt{59} \approx 99.854895

How to work it out

1
The square root of 9971 is the number that multiplied by itself gives 9971.
2
9971 is between the perfect squares 99² = 9801 and 100² = 10000, so its square root is between 99 and 100.
3
Pull out the biggest square factor: 9971 = 169 × 59, so
$\sqrt{9971} = \sqrt{169 \times 59} = 13\sqrt{59}$
4
A calculator, or long division of digits, gives
$\sqrt{9971} \approx 99.854895$

LaTeX source of the formulas on this page

\[ \sqrt{9971} = 13\sqrt{59} \approx 99.854895 \]
\[ \sqrt{9971} = \sqrt{169 \times 59} = 13\sqrt{59} \]
\[ \sqrt{9971} \approx 99.854895 \]

What is the square root of 9971?

The square root of 9971 is 99.854895 (rounded to 6 decimal places). In simplest radical form it is 13√59.

Is 9971 a perfect square?

No. It lies between 99² = 9801 and 100² = 10000.

What is 9971 squared?

9971 × 9971 = 99420841.

What is the square root of 9971 rounded to 2 decimals?

99.85.