Square root of 4532

The square root of 4532 is 67.320131 (rounded to 6 decimal places). In simplest radical form it is 2√1133.

Square root of 4532

Pick any whole number from 1 to 10,000.

\sqrt{4532} = 2\sqrt{1133} \approx 67.320131

How to work it out

1
The square root of 4532 is the number that multiplied by itself gives 4532.
2
4532 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: 4532 = 4 × 1133, so
$\sqrt{4532} = \sqrt{4 \times 1133} = 2\sqrt{1133}$
4
A calculator, or long division of digits, gives
$\sqrt{4532} \approx 67.320131$

LaTeX source of the formulas on this page

\[ \sqrt{4532} = 2\sqrt{1133} \approx 67.320131 \]
\[ \sqrt{4532} = \sqrt{4 \times 1133} = 2\sqrt{1133} \]
\[ \sqrt{4532} \approx 67.320131 \]

What is the square root of 4532?

The square root of 4532 is 67.320131 (rounded to 6 decimal places). In simplest radical form it is 2√1133.

Is 4532 a perfect square?

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

What is 4532 squared?

4532 × 4532 = 20539024.

What is the square root of 4532 rounded to 2 decimals?

67.32.