Square root of 528

The square root of 528 is 22.978251 (rounded to 6 decimal places). In simplest radical form it is 4√33.

Square root of 528

Pick any whole number from 1 to 10,000.

\sqrt{528} = 4\sqrt{33} \approx 22.978251

How to work it out

1
The square root of 528 is the number that multiplied by itself gives 528.
2
528 is between the perfect squares 22² = 484 and 23² = 529, so its square root is between 22 and 23.
3
Pull out the biggest square factor: 528 = 16 × 33, so
$\sqrt{528} = \sqrt{16 \times 33} = 4\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{528} \approx 22.978251$

LaTeX source of the formulas on this page

\[ \sqrt{528} = 4\sqrt{33} \approx 22.978251 \]
\[ \sqrt{528} = \sqrt{16 \times 33} = 4\sqrt{33} \]
\[ \sqrt{528} \approx 22.978251 \]

What is the square root of 528?

The square root of 528 is 22.978251 (rounded to 6 decimal places). In simplest radical form it is 4√33.

Is 528 a perfect square?

No. It lies between 22² = 484 and 23² = 529.

What is 528 squared?

528 × 528 = 278784.

What is the square root of 528 rounded to 2 decimals?

22.98.