Square root of 1560

The square root of 1560 is 39.496835 (rounded to 6 decimal places). In simplest radical form it is 2√390.

Square root of 1560

Pick any whole number from 1 to 10,000.

\sqrt{1560} = 2\sqrt{390} \approx 39.496835

How to work it out

1
The square root of 1560 is the number that multiplied by itself gives 1560.
2
1560 is between the perfect squares 39² = 1521 and 40² = 1600, so its square root is between 39 and 40.
3
Pull out the biggest square factor: 1560 = 4 × 390, so
$\sqrt{1560} = \sqrt{4 \times 390} = 2\sqrt{390}$
4
A calculator, or long division of digits, gives
$\sqrt{1560} \approx 39.496835$

LaTeX source of the formulas on this page

\[ \sqrt{1560} = 2\sqrt{390} \approx 39.496835 \]
\[ \sqrt{1560} = \sqrt{4 \times 390} = 2\sqrt{390} \]
\[ \sqrt{1560} \approx 39.496835 \]

What is the square root of 1560?

The square root of 1560 is 39.496835 (rounded to 6 decimal places). In simplest radical form it is 2√390.

Is 1560 a perfect square?

No. It lies between 39² = 1521 and 40² = 1600.

What is 1560 squared?

1560 × 1560 = 2433600.

What is the square root of 1560 rounded to 2 decimals?

39.50.