Square root of 5764

The square root of 5764 is 75.921012 (rounded to 6 decimal places). In simplest radical form it is 2√1441.

Square root of 5764

Pick any whole number from 1 to 10,000.

\sqrt{5764} = 2\sqrt{1441} \approx 75.921012

How to work it out

1
The square root of 5764 is the number that multiplied by itself gives 5764.
2
5764 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: 5764 = 4 × 1441, so
$\sqrt{5764} = \sqrt{4 \times 1441} = 2\sqrt{1441}$
4
A calculator, or long division of digits, gives
$\sqrt{5764} \approx 75.921012$

LaTeX source of the formulas on this page

\[ \sqrt{5764} = 2\sqrt{1441} \approx 75.921012 \]
\[ \sqrt{5764} = \sqrt{4 \times 1441} = 2\sqrt{1441} \]
\[ \sqrt{5764} \approx 75.921012 \]

What is the square root of 5764?

The square root of 5764 is 75.921012 (rounded to 6 decimal places). In simplest radical form it is 2√1441.

Is 5764 a perfect square?

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

What is 5764 squared?

5764 × 5764 = 33223696.

What is the square root of 5764 rounded to 2 decimals?

75.92.