Square root of 8973

The square root of 8973 is 94.72592 (rounded to 6 decimal places). In simplest radical form it is 3√997.

Square root of 8973

Pick any whole number from 1 to 10,000.

\sqrt{8973} = 3\sqrt{997} \approx 94.72592

How to work it out

1
The square root of 8973 is the number that multiplied by itself gives 8973.
2
8973 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: 8973 = 9 × 997, so
$\sqrt{8973} = \sqrt{9 \times 997} = 3\sqrt{997}$
4
A calculator, or long division of digits, gives
$\sqrt{8973} \approx 94.72592$

LaTeX source of the formulas on this page

\[ \sqrt{8973} = 3\sqrt{997} \approx 94.72592 \]
\[ \sqrt{8973} = \sqrt{9 \times 997} = 3\sqrt{997} \]
\[ \sqrt{8973} \approx 94.72592 \]

What is the square root of 8973?

The square root of 8973 is 94.72592 (rounded to 6 decimal places). In simplest radical form it is 3√997.

Is 8973 a perfect square?

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

What is 8973 squared?

8973 × 8973 = 80514729.

What is the square root of 8973 rounded to 2 decimals?

94.73.