Square root of 8957

The square root of 8957 is 94.641429 (rounded to 6 decimal places). In simplest radical form it is 13√53.

Square root of 8957

Pick any whole number from 1 to 10,000.

\sqrt{8957} = 13\sqrt{53} \approx 94.641429

How to work it out

1
The square root of 8957 is the number that multiplied by itself gives 8957.
2
8957 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: 8957 = 169 × 53, so
$\sqrt{8957} = \sqrt{169 \times 53} = 13\sqrt{53}$
4
A calculator, or long division of digits, gives
$\sqrt{8957} \approx 94.641429$

LaTeX source of the formulas on this page

\[ \sqrt{8957} = 13\sqrt{53} \approx 94.641429 \]
\[ \sqrt{8957} = \sqrt{169 \times 53} = 13\sqrt{53} \]
\[ \sqrt{8957} \approx 94.641429 \]

What is the square root of 8957?

The square root of 8957 is 94.641429 (rounded to 6 decimal places). In simplest radical form it is 13√53.

Is 8957 a perfect square?

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

What is 8957 squared?

8957 × 8957 = 80227849.

What is the square root of 8957 rounded to 2 decimals?

94.64.