Square root of 9764

The square root of 9764 is 98.812955 (rounded to 6 decimal places). In simplest radical form it is 2√2441.

Square root of 9764

Pick any whole number from 1 to 10,000.

\sqrt{9764} = 2\sqrt{2441} \approx 98.812955

How to work it out

1
The square root of 9764 is the number that multiplied by itself gives 9764.
2
9764 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: 9764 = 4 × 2441, so
$\sqrt{9764} = \sqrt{4 \times 2441} = 2\sqrt{2441}$
4
A calculator, or long division of digits, gives
$\sqrt{9764} \approx 98.812955$

LaTeX source of the formulas on this page

\[ \sqrt{9764} = 2\sqrt{2441} \approx 98.812955 \]
\[ \sqrt{9764} = \sqrt{4 \times 2441} = 2\sqrt{2441} \]
\[ \sqrt{9764} \approx 98.812955 \]

What is the square root of 9764?

The square root of 9764 is 98.812955 (rounded to 6 decimal places). In simplest radical form it is 2√2441.

Is 9764 a perfect square?

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

What is 9764 squared?

9764 × 9764 = 95335696.

What is the square root of 9764 rounded to 2 decimals?

98.81.