Square root of 4232

The square root of 4232 is 65.053824 (rounded to 6 decimal places). In simplest radical form it is 46√2.

Square root of 4232

Pick any whole number from 1 to 10,000.

\sqrt{4232} = 46\sqrt{2} \approx 65.053824

How to work it out

1
The square root of 4232 is the number that multiplied by itself gives 4232.
2
4232 is between the perfect squares 65² = 4225 and 66² = 4356, so its square root is between 65 and 66.
3
Pull out the biggest square factor: 4232 = 2116 × 2, so
$\sqrt{4232} = \sqrt{2116 \times 2} = 46\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{4232} \approx 65.053824$

LaTeX source of the formulas on this page

\[ \sqrt{4232} = 46\sqrt{2} \approx 65.053824 \]
\[ \sqrt{4232} = \sqrt{2116 \times 2} = 46\sqrt{2} \]
\[ \sqrt{4232} \approx 65.053824 \]

What is the square root of 4232?

The square root of 4232 is 65.053824 (rounded to 6 decimal places). In simplest radical form it is 46√2.

Is 4232 a perfect square?

No. It lies between 65² = 4225 and 66² = 4356.

What is 4232 squared?

4232 × 4232 = 17909824.

What is the square root of 4232 rounded to 2 decimals?

65.05.