Square root of 5708

The square root of 5708 is 75.551307 (rounded to 6 decimal places). In simplest radical form it is 2√1427.

Square root of 5708

Pick any whole number from 1 to 10,000.

\sqrt{5708} = 2\sqrt{1427} \approx 75.551307

How to work it out

1
The square root of 5708 is the number that multiplied by itself gives 5708.
2
5708 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: 5708 = 4 × 1427, so
$\sqrt{5708} = \sqrt{4 \times 1427} = 2\sqrt{1427}$
4
A calculator, or long division of digits, gives
$\sqrt{5708} \approx 75.551307$

LaTeX source of the formulas on this page

\[ \sqrt{5708} = 2\sqrt{1427} \approx 75.551307 \]
\[ \sqrt{5708} = \sqrt{4 \times 1427} = 2\sqrt{1427} \]
\[ \sqrt{5708} \approx 75.551307 \]

What is the square root of 5708?

The square root of 5708 is 75.551307 (rounded to 6 decimal places). In simplest radical form it is 2√1427.

Is 5708 a perfect square?

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

What is 5708 squared?

5708 × 5708 = 32581264.

What is the square root of 5708 rounded to 2 decimals?

75.55.