Square root of 8736

The square root of 8736 is 93.466572 (rounded to 6 decimal places). In simplest radical form it is 4√546.

Square root of 8736

Pick any whole number from 1 to 10,000.

\sqrt{8736} = 4\sqrt{546} \approx 93.466572

How to work it out

1
The square root of 8736 is the number that multiplied by itself gives 8736.
2
8736 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: 8736 = 16 × 546, so
$\sqrt{8736} = \sqrt{16 \times 546} = 4\sqrt{546}$
4
A calculator, or long division of digits, gives
$\sqrt{8736} \approx 93.466572$

LaTeX source of the formulas on this page

\[ \sqrt{8736} = 4\sqrt{546} \approx 93.466572 \]
\[ \sqrt{8736} = \sqrt{16 \times 546} = 4\sqrt{546} \]
\[ \sqrt{8736} \approx 93.466572 \]

What is the square root of 8736?

The square root of 8736 is 93.466572 (rounded to 6 decimal places). In simplest radical form it is 4√546.

Is 8736 a perfect square?

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

What is 8736 squared?

8736 × 8736 = 76317696.

What is the square root of 8736 rounded to 2 decimals?

93.47.