Square root of 8752

The square root of 8752 is 93.552125 (rounded to 6 decimal places). In simplest radical form it is 4√547.

Square root of 8752

Pick any whole number from 1 to 10,000.

\sqrt{8752} = 4\sqrt{547} \approx 93.552125

How to work it out

1
The square root of 8752 is the number that multiplied by itself gives 8752.
2
8752 is between the perfect squares 93² = 8649 and 94² = 8836, so its square root is between 93 and 94.
3
Pull out the biggest square factor: 8752 = 16 × 547, so
$\sqrt{8752} = \sqrt{16 \times 547} = 4\sqrt{547}$
4
A calculator, or long division of digits, gives
$\sqrt{8752} \approx 93.552125$

LaTeX source of the formulas on this page

\[ \sqrt{8752} = 4\sqrt{547} \approx 93.552125 \]
\[ \sqrt{8752} = \sqrt{16 \times 547} = 4\sqrt{547} \]
\[ \sqrt{8752} \approx 93.552125 \]

What is the square root of 8752?

The square root of 8752 is 93.552125 (rounded to 6 decimal places). In simplest radical form it is 4√547.

Is 8752 a perfect square?

No. It lies between 93² = 8649 and 94² = 8836.

What is 8752 squared?

8752 × 8752 = 76597504.

What is the square root of 8752 rounded to 2 decimals?

93.55.