Square root of 801

The square root of 801 is 28.301943 (rounded to 6 decimal places). In simplest radical form it is 3√89.

Square root of 801

Pick any whole number from 1 to 10,000.

\sqrt{801} = 3\sqrt{89} \approx 28.301943

How to work it out

1
The square root of 801 is the number that multiplied by itself gives 801.
2
801 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: 801 = 9 × 89, so
$\sqrt{801} = \sqrt{9 \times 89} = 3\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{801} \approx 28.301943$

LaTeX source of the formulas on this page

\[ \sqrt{801} = 3\sqrt{89} \approx 28.301943 \]
\[ \sqrt{801} = \sqrt{9 \times 89} = 3\sqrt{89} \]
\[ \sqrt{801} \approx 28.301943 \]

What is the square root of 801?

The square root of 801 is 28.301943 (rounded to 6 decimal places). In simplest radical form it is 3√89.

Is 801 a perfect square?

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

What is 801 squared?

801 × 801 = 641601.

What is the square root of 801 rounded to 2 decimals?

28.30.