Square root of 5728

The square root of 5728 is 75.683552 (rounded to 6 decimal places). In simplest radical form it is 4√358.

Square root of 5728

Pick any whole number from 1 to 10,000.

\sqrt{5728} = 4\sqrt{358} \approx 75.683552

How to work it out

1
The square root of 5728 is the number that multiplied by itself gives 5728.
2
5728 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: 5728 = 16 × 358, so
$\sqrt{5728} = \sqrt{16 \times 358} = 4\sqrt{358}$
4
A calculator, or long division of digits, gives
$\sqrt{5728} \approx 75.683552$

LaTeX source of the formulas on this page

\[ \sqrt{5728} = 4\sqrt{358} \approx 75.683552 \]
\[ \sqrt{5728} = \sqrt{16 \times 358} = 4\sqrt{358} \]
\[ \sqrt{5728} \approx 75.683552 \]

What is the square root of 5728?

The square root of 5728 is 75.683552 (rounded to 6 decimal places). In simplest radical form it is 4√358.

Is 5728 a perfect square?

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

What is 5728 squared?

5728 × 5728 = 32809984.

What is the square root of 5728 rounded to 2 decimals?

75.68.