Square root of 416

The square root of 416 is 20.396078 (rounded to 6 decimal places). In simplest radical form it is 4√26.

Square root of 416

Pick any whole number from 1 to 10,000.

\sqrt{416} = 4\sqrt{26} \approx 20.396078

How to work it out

1
The square root of 416 is the number that multiplied by itself gives 416.
2
416 is between the perfect squares 20² = 400 and 21² = 441, so its square root is between 20 and 21.
3
Pull out the biggest square factor: 416 = 16 × 26, so
$\sqrt{416} = \sqrt{16 \times 26} = 4\sqrt{26}$
4
A calculator, or long division of digits, gives
$\sqrt{416} \approx 20.396078$

LaTeX source of the formulas on this page

\[ \sqrt{416} = 4\sqrt{26} \approx 20.396078 \]
\[ \sqrt{416} = \sqrt{16 \times 26} = 4\sqrt{26} \]
\[ \sqrt{416} \approx 20.396078 \]

What is the square root of 416?

The square root of 416 is 20.396078 (rounded to 6 decimal places). In simplest radical form it is 4√26.

Is 416 a perfect square?

No. It lies between 20² = 400 and 21² = 441.

What is 416 squared?

416 × 416 = 173056.

What is the square root of 416 rounded to 2 decimals?

20.40.