Square root of 1568

The square root of 1568 is 39.59798 (rounded to 6 decimal places). In simplest radical form it is 28√2.

Square root of 1568

Pick any whole number from 1 to 10,000.

\sqrt{1568} = 28\sqrt{2} \approx 39.59798

How to work it out

1
The square root of 1568 is the number that multiplied by itself gives 1568.
2
1568 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: 1568 = 784 × 2, so
$\sqrt{1568} = \sqrt{784 \times 2} = 28\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{1568} \approx 39.59798$

LaTeX source of the formulas on this page

\[ \sqrt{1568} = 28\sqrt{2} \approx 39.59798 \]
\[ \sqrt{1568} = \sqrt{784 \times 2} = 28\sqrt{2} \]
\[ \sqrt{1568} \approx 39.59798 \]

What is the square root of 1568?

The square root of 1568 is 39.59798 (rounded to 6 decimal places). In simplest radical form it is 28√2.

Is 1568 a perfect square?

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

What is 1568 squared?

1568 × 1568 = 2458624.

What is the square root of 1568 rounded to 2 decimals?

39.60.