Square root of 9164

The square root of 9164 is 95.728784 (rounded to 6 decimal places). In simplest radical form it is 2√2291.

Square root of 9164

Pick any whole number from 1 to 10,000.

\sqrt{9164} = 2\sqrt{2291} \approx 95.728784

How to work it out

1
The square root of 9164 is the number that multiplied by itself gives 9164.
2
9164 is between the perfect squares 95² = 9025 and 96² = 9216, so its square root is between 95 and 96.
3
Pull out the biggest square factor: 9164 = 4 × 2291, so
$\sqrt{9164} = \sqrt{4 \times 2291} = 2\sqrt{2291}$
4
A calculator, or long division of digits, gives
$\sqrt{9164} \approx 95.728784$

LaTeX source of the formulas on this page

\[ \sqrt{9164} = 2\sqrt{2291} \approx 95.728784 \]
\[ \sqrt{9164} = \sqrt{4 \times 2291} = 2\sqrt{2291} \]
\[ \sqrt{9164} \approx 95.728784 \]

What is the square root of 9164?

The square root of 9164 is 95.728784 (rounded to 6 decimal places). In simplest radical form it is 2√2291.

Is 9164 a perfect square?

No. It lies between 95² = 9025 and 96² = 9216.

What is 9164 squared?

9164 × 9164 = 83978896.

What is the square root of 9164 rounded to 2 decimals?

95.73.