Square root of 1232

The square root of 1232 is 35.099858 (rounded to 6 decimal places). In simplest radical form it is 4√77.

Square root of 1232

Pick any whole number from 1 to 10,000.

\sqrt{1232} = 4\sqrt{77} \approx 35.099858

How to work it out

1
The square root of 1232 is the number that multiplied by itself gives 1232.
2
1232 is between the perfect squares 35² = 1225 and 36² = 1296, so its square root is between 35 and 36.
3
Pull out the biggest square factor: 1232 = 16 × 77, so
$\sqrt{1232} = \sqrt{16 \times 77} = 4\sqrt{77}$
4
A calculator, or long division of digits, gives
$\sqrt{1232} \approx 35.099858$

LaTeX source of the formulas on this page

\[ \sqrt{1232} = 4\sqrt{77} \approx 35.099858 \]
\[ \sqrt{1232} = \sqrt{16 \times 77} = 4\sqrt{77} \]
\[ \sqrt{1232} \approx 35.099858 \]

What is the square root of 1232?

The square root of 1232 is 35.099858 (rounded to 6 decimal places). In simplest radical form it is 4√77.

Is 1232 a perfect square?

No. It lies between 35² = 1225 and 36² = 1296.

What is 1232 squared?

1232 × 1232 = 1517824.

What is the square root of 1232 rounded to 2 decimals?

35.10.