Square root of 4512

The square root of 4512 is 67.171422 (rounded to 6 decimal places). In simplest radical form it is 4√282.

Square root of 4512

Pick any whole number from 1 to 10,000.

\sqrt{4512} = 4\sqrt{282} \approx 67.171422

How to work it out

1
The square root of 4512 is the number that multiplied by itself gives 4512.
2
4512 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: 4512 = 16 × 282, so
$\sqrt{4512} = \sqrt{16 \times 282} = 4\sqrt{282}$
4
A calculator, or long division of digits, gives
$\sqrt{4512} \approx 67.171422$

LaTeX source of the formulas on this page

\[ \sqrt{4512} = 4\sqrt{282} \approx 67.171422 \]
\[ \sqrt{4512} = \sqrt{16 \times 282} = 4\sqrt{282} \]
\[ \sqrt{4512} \approx 67.171422 \]

What is the square root of 4512?

The square root of 4512 is 67.171422 (rounded to 6 decimal places). In simplest radical form it is 4√282.

Is 4512 a perfect square?

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

What is 4512 squared?

4512 × 4512 = 20358144.

What is the square root of 4512 rounded to 2 decimals?

67.17.