Square root of 8748

The square root of 8748 is 93.530744 (rounded to 6 decimal places). In simplest radical form it is 54√3.

Square root of 8748

Pick any whole number from 1 to 10,000.

\sqrt{8748} = 54\sqrt{3} \approx 93.530744

How to work it out

1
The square root of 8748 is the number that multiplied by itself gives 8748.
2
8748 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: 8748 = 2916 × 3, so
$\sqrt{8748} = \sqrt{2916 \times 3} = 54\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{8748} \approx 93.530744$

LaTeX source of the formulas on this page

\[ \sqrt{8748} = 54\sqrt{3} \approx 93.530744 \]
\[ \sqrt{8748} = \sqrt{2916 \times 3} = 54\sqrt{3} \]
\[ \sqrt{8748} \approx 93.530744 \]

What is the square root of 8748?

The square root of 8748 is 93.530744 (rounded to 6 decimal places). In simplest radical form it is 54√3.

Is 8748 a perfect square?

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

What is 8748 squared?

8748 × 8748 = 76527504.

What is the square root of 8748 rounded to 2 decimals?

93.53.