Square root of 6456

The square root of 6456 is 80.349238 (rounded to 6 decimal places). In simplest radical form it is 2√1614.

Square root of 6456

Pick any whole number from 1 to 10,000.

\sqrt{6456} = 2\sqrt{1614} \approx 80.349238

How to work it out

1
The square root of 6456 is the number that multiplied by itself gives 6456.
2
6456 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: 6456 = 4 × 1614, so
$\sqrt{6456} = \sqrt{4 \times 1614} = 2\sqrt{1614}$
4
A calculator, or long division of digits, gives
$\sqrt{6456} \approx 80.349238$

LaTeX source of the formulas on this page

\[ \sqrt{6456} = 2\sqrt{1614} \approx 80.349238 \]
\[ \sqrt{6456} = \sqrt{4 \times 1614} = 2\sqrt{1614} \]
\[ \sqrt{6456} \approx 80.349238 \]

What is the square root of 6456?

The square root of 6456 is 80.349238 (rounded to 6 decimal places). In simplest radical form it is 2√1614.

Is 6456 a perfect square?

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

What is 6456 squared?

6456 × 6456 = 41679936.

What is the square root of 6456 rounded to 2 decimals?

80.35.