Square root of 6240

The square root of 6240 is 78.993671 (rounded to 6 decimal places). In simplest radical form it is 4√390.

Square root of 6240

Pick any whole number from 1 to 10,000.

\sqrt{6240} = 4\sqrt{390} \approx 78.993671

How to work it out

1
The square root of 6240 is the number that multiplied by itself gives 6240.
2
6240 is between the perfect squares 78² = 6084 and 79² = 6241, so its square root is between 78 and 79.
3
Pull out the biggest square factor: 6240 = 16 × 390, so
$\sqrt{6240} = \sqrt{16 \times 390} = 4\sqrt{390}$
4
A calculator, or long division of digits, gives
$\sqrt{6240} \approx 78.993671$

LaTeX source of the formulas on this page

\[ \sqrt{6240} = 4\sqrt{390} \approx 78.993671 \]
\[ \sqrt{6240} = \sqrt{16 \times 390} = 4\sqrt{390} \]
\[ \sqrt{6240} \approx 78.993671 \]

What is the square root of 6240?

The square root of 6240 is 78.993671 (rounded to 6 decimal places). In simplest radical form it is 4√390.

Is 6240 a perfect square?

No. It lies between 78² = 6084 and 79² = 6241.

What is 6240 squared?

6240 × 6240 = 38937600.

What is the square root of 6240 rounded to 2 decimals?

78.99.