Square root of 5608

The square root of 5608 is 74.886581 (rounded to 6 decimal places). In simplest radical form it is 2√1402.

Square root of 5608

Pick any whole number from 1 to 10,000.

\sqrt{5608} = 2\sqrt{1402} \approx 74.886581

How to work it out

1
The square root of 5608 is the number that multiplied by itself gives 5608.
2
5608 is between the perfect squares 74² = 5476 and 75² = 5625, so its square root is between 74 and 75.
3
Pull out the biggest square factor: 5608 = 4 × 1402, so
$\sqrt{5608} = \sqrt{4 \times 1402} = 2\sqrt{1402}$
4
A calculator, or long division of digits, gives
$\sqrt{5608} \approx 74.886581$

LaTeX source of the formulas on this page

\[ \sqrt{5608} = 2\sqrt{1402} \approx 74.886581 \]
\[ \sqrt{5608} = \sqrt{4 \times 1402} = 2\sqrt{1402} \]
\[ \sqrt{5608} \approx 74.886581 \]

What is the square root of 5608?

The square root of 5608 is 74.886581 (rounded to 6 decimal places). In simplest radical form it is 2√1402.

Is 5608 a perfect square?

No. It lies between 74² = 5476 and 75² = 5625.

What is 5608 squared?

5608 × 5608 = 31449664.

What is the square root of 5608 rounded to 2 decimals?

74.89.