Square root of 8528

The square root of 8528 is 92.347171 (rounded to 6 decimal places). In simplest radical form it is 4√533.

Square root of 8528

Pick any whole number from 1 to 10,000.

\sqrt{8528} = 4\sqrt{533} \approx 92.347171

How to work it out

1
The square root of 8528 is the number that multiplied by itself gives 8528.
2
8528 is between the perfect squares 92² = 8464 and 93² = 8649, so its square root is between 92 and 93.
3
Pull out the biggest square factor: 8528 = 16 × 533, so
$\sqrt{8528} = \sqrt{16 \times 533} = 4\sqrt{533}$
4
A calculator, or long division of digits, gives
$\sqrt{8528} \approx 92.347171$

LaTeX source of the formulas on this page

\[ \sqrt{8528} = 4\sqrt{533} \approx 92.347171 \]
\[ \sqrt{8528} = \sqrt{16 \times 533} = 4\sqrt{533} \]
\[ \sqrt{8528} \approx 92.347171 \]

What is the square root of 8528?

The square root of 8528 is 92.347171 (rounded to 6 decimal places). In simplest radical form it is 4√533.

Is 8528 a perfect square?

No. It lies between 92² = 8464 and 93² = 8649.

What is 8528 squared?

8528 × 8528 = 72726784.

What is the square root of 8528 rounded to 2 decimals?

92.35.