Square root of 5688

The square root of 5688 is 75.418831 (rounded to 6 decimal places). In simplest radical form it is 6√158.

Square root of 5688

Pick any whole number from 1 to 10,000.

\sqrt{5688} = 6\sqrt{158} \approx 75.418831

How to work it out

1
The square root of 5688 is the number that multiplied by itself gives 5688.
2
5688 is between the perfect squares 75² = 5625 and 76² = 5776, so its square root is between 75 and 76.
3
Pull out the biggest square factor: 5688 = 36 × 158, so
$\sqrt{5688} = \sqrt{36 \times 158} = 6\sqrt{158}$
4
A calculator, or long division of digits, gives
$\sqrt{5688} \approx 75.418831$

LaTeX source of the formulas on this page

\[ \sqrt{5688} = 6\sqrt{158} \approx 75.418831 \]
\[ \sqrt{5688} = \sqrt{36 \times 158} = 6\sqrt{158} \]
\[ \sqrt{5688} \approx 75.418831 \]

What is the square root of 5688?

The square root of 5688 is 75.418831 (rounded to 6 decimal places). In simplest radical form it is 6√158.

Is 5688 a perfect square?

No. It lies between 75² = 5625 and 76² = 5776.

What is 5688 squared?

5688 × 5688 = 32353344.

What is the square root of 5688 rounded to 2 decimals?

75.42.