Square root of 4752

The square root of 4752 is 68.934752 (rounded to 6 decimal places). In simplest radical form it is 12√33.

Square root of 4752

Pick any whole number from 1 to 10,000.

\sqrt{4752} = 12\sqrt{33} \approx 68.934752

How to work it out

1
The square root of 4752 is the number that multiplied by itself gives 4752.
2
4752 is between the perfect squares 68² = 4624 and 69² = 4761, so its square root is between 68 and 69.
3
Pull out the biggest square factor: 4752 = 144 × 33, so
$\sqrt{4752} = \sqrt{144 \times 33} = 12\sqrt{33}$
4
A calculator, or long division of digits, gives
$\sqrt{4752} \approx 68.934752$

LaTeX source of the formulas on this page

\[ \sqrt{4752} = 12\sqrt{33} \approx 68.934752 \]
\[ \sqrt{4752} = \sqrt{144 \times 33} = 12\sqrt{33} \]
\[ \sqrt{4752} \approx 68.934752 \]

What is the square root of 4752?

The square root of 4752 is 68.934752 (rounded to 6 decimal places). In simplest radical form it is 12√33.

Is 4752 a perfect square?

No. It lies between 68² = 4624 and 69² = 4761.

What is 4752 squared?

4752 × 4752 = 22581504.

What is the square root of 4752 rounded to 2 decimals?

68.93.