Square root of 4014

The square root of 4014 is 63.356136 (rounded to 6 decimal places). In simplest radical form it is 3√446.

Square root of 4014

Pick any whole number from 1 to 10,000.

\sqrt{4014} = 3\sqrt{446} \approx 63.356136

How to work it out

1
The square root of 4014 is the number that multiplied by itself gives 4014.
2
4014 is between the perfect squares 63² = 3969 and 64² = 4096, so its square root is between 63 and 64.
3
Pull out the biggest square factor: 4014 = 9 × 446, so
$\sqrt{4014} = \sqrt{9 \times 446} = 3\sqrt{446}$
4
A calculator, or long division of digits, gives
$\sqrt{4014} \approx 63.356136$

LaTeX source of the formulas on this page

\[ \sqrt{4014} = 3\sqrt{446} \approx 63.356136 \]
\[ \sqrt{4014} = \sqrt{9 \times 446} = 3\sqrt{446} \]
\[ \sqrt{4014} \approx 63.356136 \]

What is the square root of 4014?

The square root of 4014 is 63.356136 (rounded to 6 decimal places). In simplest radical form it is 3√446.

Is 4014 a perfect square?

No. It lies between 63² = 3969 and 64² = 4096.

What is 4014 squared?

4014 × 4014 = 16112196.

What is the square root of 4014 rounded to 2 decimals?

63.36.