Square root of 5740

The square root of 5740 is 75.762788 (rounded to 6 decimal places). In simplest radical form it is 2√1435.

Square root of 5740

Pick any whole number from 1 to 10,000.

\sqrt{5740} = 2\sqrt{1435} \approx 75.762788

How to work it out

1
The square root of 5740 is the number that multiplied by itself gives 5740.
2
5740 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: 5740 = 4 × 1435, so
$\sqrt{5740} = \sqrt{4 \times 1435} = 2\sqrt{1435}$
4
A calculator, or long division of digits, gives
$\sqrt{5740} \approx 75.762788$

LaTeX source of the formulas on this page

\[ \sqrt{5740} = 2\sqrt{1435} \approx 75.762788 \]
\[ \sqrt{5740} = \sqrt{4 \times 1435} = 2\sqrt{1435} \]
\[ \sqrt{5740} \approx 75.762788 \]

What is the square root of 5740?

The square root of 5740 is 75.762788 (rounded to 6 decimal places). In simplest radical form it is 2√1435.

Is 5740 a perfect square?

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

What is 5740 squared?

5740 × 5740 = 32947600.

What is the square root of 5740 rounded to 2 decimals?

75.76.