Square root of 2752

The square root of 2752 is 52.459508 (rounded to 6 decimal places). In simplest radical form it is 8√43.

Square root of 2752

Pick any whole number from 1 to 10,000.

\sqrt{2752} = 8\sqrt{43} \approx 52.459508

How to work it out

1
The square root of 2752 is the number that multiplied by itself gives 2752.
2
2752 is between the perfect squares 52² = 2704 and 53² = 2809, so its square root is between 52 and 53.
3
Pull out the biggest square factor: 2752 = 64 × 43, so
$\sqrt{2752} = \sqrt{64 \times 43} = 8\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{2752} \approx 52.459508$

LaTeX source of the formulas on this page

\[ \sqrt{2752} = 8\sqrt{43} \approx 52.459508 \]
\[ \sqrt{2752} = \sqrt{64 \times 43} = 8\sqrt{43} \]
\[ \sqrt{2752} \approx 52.459508 \]

What is the square root of 2752?

The square root of 2752 is 52.459508 (rounded to 6 decimal places). In simplest radical form it is 8√43.

Is 2752 a perfect square?

No. It lies between 52² = 2704 and 53² = 2809.

What is 2752 squared?

2752 × 2752 = 7573504.

What is the square root of 2752 rounded to 2 decimals?

52.46.