Square root of 5684

The square root of 5684 is 75.392307 (rounded to 6 decimal places). In simplest radical form it is 14√29.

Square root of 5684

Pick any whole number from 1 to 10,000.

\sqrt{5684} = 14\sqrt{29} \approx 75.392307

How to work it out

1
The square root of 5684 is the number that multiplied by itself gives 5684.
2
5684 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: 5684 = 196 × 29, so
$\sqrt{5684} = \sqrt{196 \times 29} = 14\sqrt{29}$
4
A calculator, or long division of digits, gives
$\sqrt{5684} \approx 75.392307$

LaTeX source of the formulas on this page

\[ \sqrt{5684} = 14\sqrt{29} \approx 75.392307 \]
\[ \sqrt{5684} = \sqrt{196 \times 29} = 14\sqrt{29} \]
\[ \sqrt{5684} \approx 75.392307 \]

What is the square root of 5684?

The square root of 5684 is 75.392307 (rounded to 6 decimal places). In simplest radical form it is 14√29.

Is 5684 a perfect square?

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

What is 5684 squared?

5684 × 5684 = 32307856.

What is the square root of 5684 rounded to 2 decimals?

75.39.