Square root of 8952

The square root of 8952 is 94.615009 (rounded to 6 decimal places). In simplest radical form it is 2√2238.

Square root of 8952

Pick any whole number from 1 to 10,000.

\sqrt{8952} = 2\sqrt{2238} \approx 94.615009

How to work it out

1
The square root of 8952 is the number that multiplied by itself gives 8952.
2
8952 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: 8952 = 4 × 2238, so
$\sqrt{8952} = \sqrt{4 \times 2238} = 2\sqrt{2238}$
4
A calculator, or long division of digits, gives
$\sqrt{8952} \approx 94.615009$

LaTeX source of the formulas on this page

\[ \sqrt{8952} = 2\sqrt{2238} \approx 94.615009 \]
\[ \sqrt{8952} = \sqrt{4 \times 2238} = 2\sqrt{2238} \]
\[ \sqrt{8952} \approx 94.615009 \]

What is the square root of 8952?

The square root of 8952 is 94.615009 (rounded to 6 decimal places). In simplest radical form it is 2√2238.

Is 8952 a perfect square?

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

What is 8952 squared?

8952 × 8952 = 80138304.

What is the square root of 8952 rounded to 2 decimals?

94.62.