Square root of 8972

The square root of 8972 is 94.720642 (rounded to 6 decimal places). In simplest radical form it is 2√2243.

Square root of 8972

Pick any whole number from 1 to 10,000.

\sqrt{8972} = 2\sqrt{2243} \approx 94.720642

How to work it out

1
The square root of 8972 is the number that multiplied by itself gives 8972.
2
8972 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: 8972 = 4 × 2243, so
$\sqrt{8972} = \sqrt{4 \times 2243} = 2\sqrt{2243}$
4
A calculator, or long division of digits, gives
$\sqrt{8972} \approx 94.720642$

LaTeX source of the formulas on this page

\[ \sqrt{8972} = 2\sqrt{2243} \approx 94.720642 \]
\[ \sqrt{8972} = \sqrt{4 \times 2243} = 2\sqrt{2243} \]
\[ \sqrt{8972} \approx 94.720642 \]

What is the square root of 8972?

The square root of 8972 is 94.720642 (rounded to 6 decimal places). In simplest radical form it is 2√2243.

Is 8972 a perfect square?

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

What is 8972 squared?

8972 × 8972 = 80496784.

What is the square root of 8972 rounded to 2 decimals?

94.72.