Square root of 5752

The square root of 5752 is 75.841941 (rounded to 6 decimal places). In simplest radical form it is 2√1438.

Square root of 5752

Pick any whole number from 1 to 10,000.

\sqrt{5752} = 2\sqrt{1438} \approx 75.841941

How to work it out

1
The square root of 5752 is the number that multiplied by itself gives 5752.
2
5752 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: 5752 = 4 × 1438, so
$\sqrt{5752} = \sqrt{4 \times 1438} = 2\sqrt{1438}$
4
A calculator, or long division of digits, gives
$\sqrt{5752} \approx 75.841941$

LaTeX source of the formulas on this page

\[ \sqrt{5752} = 2\sqrt{1438} \approx 75.841941 \]
\[ \sqrt{5752} = \sqrt{4 \times 1438} = 2\sqrt{1438} \]
\[ \sqrt{5752} \approx 75.841941 \]

What is the square root of 5752?

The square root of 5752 is 75.841941 (rounded to 6 decimal places). In simplest radical form it is 2√1438.

Is 5752 a perfect square?

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

What is 5752 squared?

5752 × 5752 = 33085504.

What is the square root of 5752 rounded to 2 decimals?

75.84.