Square root of 1014

The square root of 1014 is 31.843367 (rounded to 6 decimal places). In simplest radical form it is 13√6.

Square root of 1014

Pick any whole number from 1 to 10,000.

\sqrt{1014} = 13\sqrt{6} \approx 31.843367

How to work it out

1
The square root of 1014 is the number that multiplied by itself gives 1014.
2
1014 is between the perfect squares 31² = 961 and 32² = 1024, so its square root is between 31 and 32.
3
Pull out the biggest square factor: 1014 = 169 × 6, so
$\sqrt{1014} = \sqrt{169 \times 6} = 13\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{1014} \approx 31.843367$

LaTeX source of the formulas on this page

\[ \sqrt{1014} = 13\sqrt{6} \approx 31.843367 \]
\[ \sqrt{1014} = \sqrt{169 \times 6} = 13\sqrt{6} \]
\[ \sqrt{1014} \approx 31.843367 \]

What is the square root of 1014?

The square root of 1014 is 31.843367 (rounded to 6 decimal places). In simplest radical form it is 13√6.

Is 1014 a perfect square?

No. It lies between 31² = 961 and 32² = 1024.

What is 1014 squared?

1014 × 1014 = 1028196.

What is the square root of 1014 rounded to 2 decimals?

31.84.