Square root of 9876

The square root of 9876 is 99.378066 (rounded to 6 decimal places). In simplest radical form it is 2√2469.

Square root of 9876

Pick any whole number from 1 to 10,000.

\sqrt{9876} = 2\sqrt{2469} \approx 99.378066

How to work it out

1
The square root of 9876 is the number that multiplied by itself gives 9876.
2
9876 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: 9876 = 4 × 2469, so
$\sqrt{9876} = \sqrt{4 \times 2469} = 2\sqrt{2469}$
4
A calculator, or long division of digits, gives
$\sqrt{9876} \approx 99.378066$

LaTeX source of the formulas on this page

\[ \sqrt{9876} = 2\sqrt{2469} \approx 99.378066 \]
\[ \sqrt{9876} = \sqrt{4 \times 2469} = 2\sqrt{2469} \]
\[ \sqrt{9876} \approx 99.378066 \]

What is the square root of 9876?

The square root of 9876 is 99.378066 (rounded to 6 decimal places). In simplest radical form it is 2√2469.

Is 9876 a perfect square?

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

What is 9876 squared?

9876 × 9876 = 97535376.

What is the square root of 9876 rounded to 2 decimals?

99.38.