Square root of 8036

The square root of 8036 is 89.643739 (rounded to 6 decimal places). In simplest radical form it is 14√41.

Square root of 8036

Pick any whole number from 1 to 10,000.

\sqrt{8036} = 14\sqrt{41} \approx 89.643739

How to work it out

1
The square root of 8036 is the number that multiplied by itself gives 8036.
2
8036 is between the perfect squares 89² = 7921 and 90² = 8100, so its square root is between 89 and 90.
3
Pull out the biggest square factor: 8036 = 196 × 41, so
$\sqrt{8036} = \sqrt{196 \times 41} = 14\sqrt{41}$
4
A calculator, or long division of digits, gives
$\sqrt{8036} \approx 89.643739$

LaTeX source of the formulas on this page

\[ \sqrt{8036} = 14\sqrt{41} \approx 89.643739 \]
\[ \sqrt{8036} = \sqrt{196 \times 41} = 14\sqrt{41} \]
\[ \sqrt{8036} \approx 89.643739 \]

What is the square root of 8036?

The square root of 8036 is 89.643739 (rounded to 6 decimal places). In simplest radical form it is 14√41.

Is 8036 a perfect square?

No. It lies between 89² = 7921 and 90² = 8100.

What is 8036 squared?

8036 × 8036 = 64577296.

What is the square root of 8036 rounded to 2 decimals?

89.64.