Square root of 6452

The square root of 6452 is 80.324343 (rounded to 6 decimal places). In simplest radical form it is 2√1613.

Square root of 6452

Pick any whole number from 1 to 10,000.

\sqrt{6452} = 2\sqrt{1613} \approx 80.324343

How to work it out

1
The square root of 6452 is the number that multiplied by itself gives 6452.
2
6452 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: 6452 = 4 × 1613, so
$\sqrt{6452} = \sqrt{4 \times 1613} = 2\sqrt{1613}$
4
A calculator, or long division of digits, gives
$\sqrt{6452} \approx 80.324343$

LaTeX source of the formulas on this page

\[ \sqrt{6452} = 2\sqrt{1613} \approx 80.324343 \]
\[ \sqrt{6452} = \sqrt{4 \times 1613} = 2\sqrt{1613} \]
\[ \sqrt{6452} \approx 80.324343 \]

What is the square root of 6452?

The square root of 6452 is 80.324343 (rounded to 6 decimal places). In simplest radical form it is 2√1613.

Is 6452 a perfect square?

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

What is 6452 squared?

6452 × 6452 = 41628304.

What is the square root of 6452 rounded to 2 decimals?

80.32.