Square root of 4528

The square root of 4528 is 67.290415 (rounded to 6 decimal places). In simplest radical form it is 4√283.

Square root of 4528

Pick any whole number from 1 to 10,000.

\sqrt{4528} = 4\sqrt{283} \approx 67.290415

How to work it out

1
The square root of 4528 is the number that multiplied by itself gives 4528.
2
4528 is between the perfect squares 67² = 4489 and 68² = 4624, so its square root is between 67 and 68.
3
Pull out the biggest square factor: 4528 = 16 × 283, so
$\sqrt{4528} = \sqrt{16 \times 283} = 4\sqrt{283}$
4
A calculator, or long division of digits, gives
$\sqrt{4528} \approx 67.290415$

LaTeX source of the formulas on this page

\[ \sqrt{4528} = 4\sqrt{283} \approx 67.290415 \]
\[ \sqrt{4528} = \sqrt{16 \times 283} = 4\sqrt{283} \]
\[ \sqrt{4528} \approx 67.290415 \]

What is the square root of 4528?

The square root of 4528 is 67.290415 (rounded to 6 decimal places). In simplest radical form it is 4√283.

Is 4528 a perfect square?

No. It lies between 67² = 4489 and 68² = 4624.

What is 4528 squared?

4528 × 4528 = 20502784.

What is the square root of 4528 rounded to 2 decimals?

67.29.