Square root of 816

The square root of 816 is 28.565714 (rounded to 6 decimal places). In simplest radical form it is 4√51.

Square root of 816

Pick any whole number from 1 to 10,000.

\sqrt{816} = 4\sqrt{51} \approx 28.565714

How to work it out

1
The square root of 816 is the number that multiplied by itself gives 816.
2
816 is between the perfect squares 28² = 784 and 29² = 841, so its square root is between 28 and 29.
3
Pull out the biggest square factor: 816 = 16 × 51, so
$\sqrt{816} = \sqrt{16 \times 51} = 4\sqrt{51}$
4
A calculator, or long division of digits, gives
$\sqrt{816} \approx 28.565714$

LaTeX source of the formulas on this page

\[ \sqrt{816} = 4\sqrt{51} \approx 28.565714 \]
\[ \sqrt{816} = \sqrt{16 \times 51} = 4\sqrt{51} \]
\[ \sqrt{816} \approx 28.565714 \]

What is the square root of 816?

The square root of 816 is 28.565714 (rounded to 6 decimal places). In simplest radical form it is 4√51.

Is 816 a perfect square?

No. It lies between 28² = 784 and 29² = 841.

What is 816 squared?

816 × 816 = 665856.

What is the square root of 816 rounded to 2 decimals?

28.57.