Square root of 9700

The square root of 9700 is 98.488578 (rounded to 6 decimal places). In simplest radical form it is 10√97.

Square root of 9700

Pick any whole number from 1 to 10,000.

\sqrt{9700} = 10\sqrt{97} \approx 98.488578

How to work it out

1
The square root of 9700 is the number that multiplied by itself gives 9700.
2
9700 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: 9700 = 100 × 97, so
$\sqrt{9700} = \sqrt{100 \times 97} = 10\sqrt{97}$
4
A calculator, or long division of digits, gives
$\sqrt{9700} \approx 98.488578$

LaTeX source of the formulas on this page

\[ \sqrt{9700} = 10\sqrt{97} \approx 98.488578 \]
\[ \sqrt{9700} = \sqrt{100 \times 97} = 10\sqrt{97} \]
\[ \sqrt{9700} \approx 98.488578 \]

What is the square root of 9700?

The square root of 9700 is 98.488578 (rounded to 6 decimal places). In simplest radical form it is 10√97.

Is 9700 a perfect square?

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

What is 9700 squared?

9700 × 9700 = 94090000.

What is the square root of 9700 rounded to 2 decimals?

98.49.