Square root of 1284

The square root of 1284 is 35.832946 (rounded to 6 decimal places). In simplest radical form it is 2√321.

Square root of 1284

Pick any whole number from 1 to 10,000.

\sqrt{1284} = 2\sqrt{321} \approx 35.832946

How to work it out

1
The square root of 1284 is the number that multiplied by itself gives 1284.
2
1284 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: 1284 = 4 × 321, so
$\sqrt{1284} = \sqrt{4 \times 321} = 2\sqrt{321}$
4
A calculator, or long division of digits, gives
$\sqrt{1284} \approx 35.832946$

LaTeX source of the formulas on this page

\[ \sqrt{1284} = 2\sqrt{321} \approx 35.832946 \]
\[ \sqrt{1284} = \sqrt{4 \times 321} = 2\sqrt{321} \]
\[ \sqrt{1284} \approx 35.832946 \]

What is the square root of 1284?

The square root of 1284 is 35.832946 (rounded to 6 decimal places). In simplest radical form it is 2√321.

Is 1284 a perfect square?

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

What is 1284 squared?

1284 × 1284 = 1648656.

What is the square root of 1284 rounded to 2 decimals?

35.83.