Square root of 5742

The square root of 5742 is 75.775986 (rounded to 6 decimal places). In simplest radical form it is 3√638.

Square root of 5742

Pick any whole number from 1 to 10,000.

\sqrt{5742} = 3\sqrt{638} \approx 75.775986

How to work it out

1
The square root of 5742 is the number that multiplied by itself gives 5742.
2
5742 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: 5742 = 9 × 638, so
$\sqrt{5742} = \sqrt{9 \times 638} = 3\sqrt{638}$
4
A calculator, or long division of digits, gives
$\sqrt{5742} \approx 75.775986$

LaTeX source of the formulas on this page

\[ \sqrt{5742} = 3\sqrt{638} \approx 75.775986 \]
\[ \sqrt{5742} = \sqrt{9 \times 638} = 3\sqrt{638} \]
\[ \sqrt{5742} \approx 75.775986 \]

What is the square root of 5742?

The square root of 5742 is 75.775986 (rounded to 6 decimal places). In simplest radical form it is 3√638.

Is 5742 a perfect square?

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

What is 5742 squared?

5742 × 5742 = 32970564.

What is the square root of 5742 rounded to 2 decimals?

75.78.