Square root of 1314

The square root of 1314 is 36.249138 (rounded to 6 decimal places). In simplest radical form it is 3√146.

Square root of 1314

Pick any whole number from 1 to 10,000.

\sqrt{1314} = 3\sqrt{146} \approx 36.249138

How to work it out

1
The square root of 1314 is the number that multiplied by itself gives 1314.
2
1314 is between the perfect squares 36² = 1296 and 37² = 1369, so its square root is between 36 and 37.
3
Pull out the biggest square factor: 1314 = 9 × 146, so
$\sqrt{1314} = \sqrt{9 \times 146} = 3\sqrt{146}$
4
A calculator, or long division of digits, gives
$\sqrt{1314} \approx 36.249138$

LaTeX source of the formulas on this page

\[ \sqrt{1314} = 3\sqrt{146} \approx 36.249138 \]
\[ \sqrt{1314} = \sqrt{9 \times 146} = 3\sqrt{146} \]
\[ \sqrt{1314} \approx 36.249138 \]

What is the square root of 1314?

The square root of 1314 is 36.249138 (rounded to 6 decimal places). In simplest radical form it is 3√146.

Is 1314 a perfect square?

No. It lies between 36² = 1296 and 37² = 1369.

What is 1314 squared?

1314 × 1314 = 1726596.

What is the square root of 1314 rounded to 2 decimals?

36.25.