Square root of 9802

The square root of 9802 is 99.00505 (rounded to 6 decimal places). In simplest radical form it is 13√58.

Square root of 9802

Pick any whole number from 1 to 10,000.

\sqrt{9802} = 13\sqrt{58} \approx 99.00505

How to work it out

1
The square root of 9802 is the number that multiplied by itself gives 9802.
2
9802 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: 9802 = 169 × 58, so
$\sqrt{9802} = \sqrt{169 \times 58} = 13\sqrt{58}$
4
A calculator, or long division of digits, gives
$\sqrt{9802} \approx 99.00505$

LaTeX source of the formulas on this page

\[ \sqrt{9802} = 13\sqrt{58} \approx 99.00505 \]
\[ \sqrt{9802} = \sqrt{169 \times 58} = 13\sqrt{58} \]
\[ \sqrt{9802} \approx 99.00505 \]

What is the square root of 9802?

The square root of 9802 is 99.00505 (rounded to 6 decimal places). In simplest radical form it is 13√58.

Is 9802 a perfect square?

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

What is 9802 squared?

9802 × 9802 = 96079204.

What is the square root of 9802 rounded to 2 decimals?

99.01.