Square root of 6536

The square root of 6536 is 80.845532 (rounded to 6 decimal places). In simplest radical form it is 2√1634.

Square root of 6536

Pick any whole number from 1 to 10,000.

\sqrt{6536} = 2\sqrt{1634} \approx 80.845532

How to work it out

1
The square root of 6536 is the number that multiplied by itself gives 6536.
2
6536 is between the perfect squares 80² = 6400 and 81² = 6561, so its square root is between 80 and 81.
3
Pull out the biggest square factor: 6536 = 4 × 1634, so
$\sqrt{6536} = \sqrt{4 \times 1634} = 2\sqrt{1634}$
4
A calculator, or long division of digits, gives
$\sqrt{6536} \approx 80.845532$

LaTeX source of the formulas on this page

\[ \sqrt{6536} = 2\sqrt{1634} \approx 80.845532 \]
\[ \sqrt{6536} = \sqrt{4 \times 1634} = 2\sqrt{1634} \]
\[ \sqrt{6536} \approx 80.845532 \]

What is the square root of 6536?

The square root of 6536 is 80.845532 (rounded to 6 decimal places). In simplest radical form it is 2√1634.

Is 6536 a perfect square?

No. It lies between 80² = 6400 and 81² = 6561.

What is 6536 squared?

6536 × 6536 = 42719296.

What is the square root of 6536 rounded to 2 decimals?

80.85.