Square root of 6460

The square root of 6460 is 80.374125 (rounded to 6 decimal places). In simplest radical form it is 2√1615.

Square root of 6460

Pick any whole number from 1 to 10,000.

\sqrt{6460} = 2\sqrt{1615} \approx 80.374125

How to work it out

1
The square root of 6460 is the number that multiplied by itself gives 6460.
2
6460 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: 6460 = 4 × 1615, so
$\sqrt{6460} = \sqrt{4 \times 1615} = 2\sqrt{1615}$
4
A calculator, or long division of digits, gives
$\sqrt{6460} \approx 80.374125$

LaTeX source of the formulas on this page

\[ \sqrt{6460} = 2\sqrt{1615} \approx 80.374125 \]
\[ \sqrt{6460} = \sqrt{4 \times 1615} = 2\sqrt{1615} \]
\[ \sqrt{6460} \approx 80.374125 \]

What is the square root of 6460?

The square root of 6460 is 80.374125 (rounded to 6 decimal places). In simplest radical form it is 2√1615.

Is 6460 a perfect square?

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

What is 6460 squared?

6460 × 6460 = 41731600.

What is the square root of 6460 rounded to 2 decimals?

80.37.