Square root of 1278

The square root of 1278 is 35.749126 (rounded to 6 decimal places). In simplest radical form it is 3√142.

Square root of 1278

Pick any whole number from 1 to 10,000.

\sqrt{1278} = 3\sqrt{142} \approx 35.749126

How to work it out

1
The square root of 1278 is the number that multiplied by itself gives 1278.
2
1278 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: 1278 = 9 × 142, so
$\sqrt{1278} = \sqrt{9 \times 142} = 3\sqrt{142}$
4
A calculator, or long division of digits, gives
$\sqrt{1278} \approx 35.749126$

LaTeX source of the formulas on this page

\[ \sqrt{1278} = 3\sqrt{142} \approx 35.749126 \]
\[ \sqrt{1278} = \sqrt{9 \times 142} = 3\sqrt{142} \]
\[ \sqrt{1278} \approx 35.749126 \]

What is the square root of 1278?

The square root of 1278 is 35.749126 (rounded to 6 decimal places). In simplest radical form it is 3√142.

Is 1278 a perfect square?

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

What is 1278 squared?

1278 × 1278 = 1633284.

What is the square root of 1278 rounded to 2 decimals?

35.75.