Square root of 5588

The square root of 5588 is 74.752926 (rounded to 6 decimal places). In simplest radical form it is 2√1397.

Square root of 5588

Pick any whole number from 1 to 10,000.

\sqrt{5588} = 2\sqrt{1397} \approx 74.752926

How to work it out

1
The square root of 5588 is the number that multiplied by itself gives 5588.
2
5588 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: 5588 = 4 × 1397, so
$\sqrt{5588} = \sqrt{4 \times 1397} = 2\sqrt{1397}$
4
A calculator, or long division of digits, gives
$\sqrt{5588} \approx 74.752926$

LaTeX source of the formulas on this page

\[ \sqrt{5588} = 2\sqrt{1397} \approx 74.752926 \]
\[ \sqrt{5588} = \sqrt{4 \times 1397} = 2\sqrt{1397} \]
\[ \sqrt{5588} \approx 74.752926 \]

What is the square root of 5588?

The square root of 5588 is 74.752926 (rounded to 6 decimal places). In simplest radical form it is 2√1397.

Is 5588 a perfect square?

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

What is 5588 squared?

5588 × 5588 = 31225744.

What is the square root of 5588 rounded to 2 decimals?

74.75.