Square root of 1224

The square root of 1224 is 34.985711 (rounded to 6 decimal places). In simplest radical form it is 6√34.

Square root of 1224

Pick any whole number from 1 to 10,000.

\sqrt{1224} = 6\sqrt{34} \approx 34.985711

How to work it out

1
The square root of 1224 is the number that multiplied by itself gives 1224.
2
1224 is between the perfect squares 34² = 1156 and 35² = 1225, so its square root is between 34 and 35.
3
Pull out the biggest square factor: 1224 = 36 × 34, so
$\sqrt{1224} = \sqrt{36 \times 34} = 6\sqrt{34}$
4
A calculator, or long division of digits, gives
$\sqrt{1224} \approx 34.985711$

LaTeX source of the formulas on this page

\[ \sqrt{1224} = 6\sqrt{34} \approx 34.985711 \]
\[ \sqrt{1224} = \sqrt{36 \times 34} = 6\sqrt{34} \]
\[ \sqrt{1224} \approx 34.985711 \]

What is the square root of 1224?

The square root of 1224 is 34.985711 (rounded to 6 decimal places). In simplest radical form it is 6√34.

Is 1224 a perfect square?

No. It lies between 34² = 1156 and 35² = 1225.

What is 1224 squared?

1224 × 1224 = 1498176.

What is the square root of 1224 rounded to 2 decimals?

34.99.