Square root of 8908

The square root of 8908 is 94.382202 (rounded to 6 decimal places). In simplest radical form it is 2√2227.

Square root of 8908

Pick any whole number from 1 to 10,000.

\sqrt{8908} = 2\sqrt{2227} \approx 94.382202

How to work it out

1
The square root of 8908 is the number that multiplied by itself gives 8908.
2
8908 is between the perfect squares 94² = 8836 and 95² = 9025, so its square root is between 94 and 95.
3
Pull out the biggest square factor: 8908 = 4 × 2227, so
$\sqrt{8908} = \sqrt{4 \times 2227} = 2\sqrt{2227}$
4
A calculator, or long division of digits, gives
$\sqrt{8908} \approx 94.382202$

LaTeX source of the formulas on this page

\[ \sqrt{8908} = 2\sqrt{2227} \approx 94.382202 \]
\[ \sqrt{8908} = \sqrt{4 \times 2227} = 2\sqrt{2227} \]
\[ \sqrt{8908} \approx 94.382202 \]

What is the square root of 8908?

The square root of 8908 is 94.382202 (rounded to 6 decimal places). In simplest radical form it is 2√2227.

Is 8908 a perfect square?

No. It lies between 94² = 8836 and 95² = 9025.

What is 8908 squared?

8908 × 8908 = 79352464.

What is the square root of 8908 rounded to 2 decimals?

94.38.