Square root of 9702

The square root of 9702 is 98.498731 (rounded to 6 decimal places). In simplest radical form it is 21√22.

Square root of 9702

Pick any whole number from 1 to 10,000.

\sqrt{9702} = 21\sqrt{22} \approx 98.498731

How to work it out

1
The square root of 9702 is the number that multiplied by itself gives 9702.
2
9702 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: 9702 = 441 × 22, so
$\sqrt{9702} = \sqrt{441 \times 22} = 21\sqrt{22}$
4
A calculator, or long division of digits, gives
$\sqrt{9702} \approx 98.498731$

LaTeX source of the formulas on this page

\[ \sqrt{9702} = 21\sqrt{22} \approx 98.498731 \]
\[ \sqrt{9702} = \sqrt{441 \times 22} = 21\sqrt{22} \]
\[ \sqrt{9702} \approx 98.498731 \]

What is the square root of 9702?

The square root of 9702 is 98.498731 (rounded to 6 decimal places). In simplest radical form it is 21√22.

Is 9702 a perfect square?

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

What is 9702 squared?

9702 × 9702 = 94128804.

What is the square root of 9702 rounded to 2 decimals?

98.50.