Square root of 5744

The square root of 5744 is 75.789181 (rounded to 6 decimal places). In simplest radical form it is 4√359.

Square root of 5744

Pick any whole number from 1 to 10,000.

\sqrt{5744} = 4\sqrt{359} \approx 75.789181

How to work it out

1
The square root of 5744 is the number that multiplied by itself gives 5744.
2
5744 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: 5744 = 16 × 359, so
$\sqrt{5744} = \sqrt{16 \times 359} = 4\sqrt{359}$
4
A calculator, or long division of digits, gives
$\sqrt{5744} \approx 75.789181$

LaTeX source of the formulas on this page

\[ \sqrt{5744} = 4\sqrt{359} \approx 75.789181 \]
\[ \sqrt{5744} = \sqrt{16 \times 359} = 4\sqrt{359} \]
\[ \sqrt{5744} \approx 75.789181 \]

What is the square root of 5744?

The square root of 5744 is 75.789181 (rounded to 6 decimal places). In simplest radical form it is 4√359.

Is 5744 a perfect square?

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

What is 5744 squared?

5744 × 5744 = 32993536.

What is the square root of 5744 rounded to 2 decimals?

75.79.