Square root of 8948

The square root of 8948 is 94.593869 (rounded to 6 decimal places). In simplest radical form it is 2√2237.

Square root of 8948

Pick any whole number from 1 to 10,000.

\sqrt{8948} = 2\sqrt{2237} \approx 94.593869

How to work it out

1
The square root of 8948 is the number that multiplied by itself gives 8948.
2
8948 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: 8948 = 4 × 2237, so
$\sqrt{8948} = \sqrt{4 \times 2237} = 2\sqrt{2237}$
4
A calculator, or long division of digits, gives
$\sqrt{8948} \approx 94.593869$

LaTeX source of the formulas on this page

\[ \sqrt{8948} = 2\sqrt{2237} \approx 94.593869 \]
\[ \sqrt{8948} = \sqrt{4 \times 2237} = 2\sqrt{2237} \]
\[ \sqrt{8948} \approx 94.593869 \]

What is the square root of 8948?

The square root of 8948 is 94.593869 (rounded to 6 decimal places). In simplest radical form it is 2√2237.

Is 8948 a perfect square?

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

What is 8948 squared?

8948 × 8948 = 80066704.

What is the square root of 8948 rounded to 2 decimals?

94.59.