Square root of 8978

The square root of 8978 is 94.752309 (rounded to 6 decimal places). In simplest radical form it is 67√2.

Square root of 8978

Pick any whole number from 1 to 10,000.

\sqrt{8978} = 67\sqrt{2} \approx 94.752309

How to work it out

1
The square root of 8978 is the number that multiplied by itself gives 8978.
2
8978 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: 8978 = 4489 × 2, so
$\sqrt{8978} = \sqrt{4489 \times 2} = 67\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{8978} \approx 94.752309$

LaTeX source of the formulas on this page

\[ \sqrt{8978} = 67\sqrt{2} \approx 94.752309 \]
\[ \sqrt{8978} = \sqrt{4489 \times 2} = 67\sqrt{2} \]
\[ \sqrt{8978} \approx 94.752309 \]

What is the square root of 8978?

The square root of 8978 is 94.752309 (rounded to 6 decimal places). In simplest radical form it is 67√2.

Is 8978 a perfect square?

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

What is 8978 squared?

8978 × 8978 = 80604484.

What is the square root of 8978 rounded to 2 decimals?

94.75.