Square root of 1233

The square root of 1233 is 35.1141 (rounded to 6 decimal places). In simplest radical form it is 3√137.

Square root of 1233

Pick any whole number from 1 to 10,000.

\sqrt{1233} = 3\sqrt{137} \approx 35.1141

How to work it out

1
The square root of 1233 is the number that multiplied by itself gives 1233.
2
1233 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: 1233 = 9 × 137, so
$\sqrt{1233} = \sqrt{9 \times 137} = 3\sqrt{137}$
4
A calculator, or long division of digits, gives
$\sqrt{1233} \approx 35.1141$

LaTeX source of the formulas on this page

\[ \sqrt{1233} = 3\sqrt{137} \approx 35.1141 \]
\[ \sqrt{1233} = \sqrt{9 \times 137} = 3\sqrt{137} \]
\[ \sqrt{1233} \approx 35.1141 \]

What is the square root of 1233?

The square root of 1233 is 35.1141 (rounded to 6 decimal places). In simplest radical form it is 3√137.

Is 1233 a perfect square?

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

What is 1233 squared?

1233 × 1233 = 1520289.

What is the square root of 1233 rounded to 2 decimals?

35.11.