Square root of 5256

The square root of 5256 is 72.498276 (rounded to 6 decimal places). In simplest radical form it is 6√146.

Square root of 5256

Pick any whole number from 1 to 10,000.

\sqrt{5256} = 6\sqrt{146} \approx 72.498276

How to work it out

1
The square root of 5256 is the number that multiplied by itself gives 5256.
2
5256 is between the perfect squares 72² = 5184 and 73² = 5329, so its square root is between 72 and 73.
3
Pull out the biggest square factor: 5256 = 36 × 146, so
$\sqrt{5256} = \sqrt{36 \times 146} = 6\sqrt{146}$
4
A calculator, or long division of digits, gives
$\sqrt{5256} \approx 72.498276$

LaTeX source of the formulas on this page

\[ \sqrt{5256} = 6\sqrt{146} \approx 72.498276 \]
\[ \sqrt{5256} = \sqrt{36 \times 146} = 6\sqrt{146} \]
\[ \sqrt{5256} \approx 72.498276 \]

What is the square root of 5256?

The square root of 5256 is 72.498276 (rounded to 6 decimal places). In simplest radical form it is 6√146.

Is 5256 a perfect square?

No. It lies between 72² = 5184 and 73² = 5329.

What is 5256 squared?

5256 × 5256 = 27625536.

What is the square root of 5256 rounded to 2 decimals?

72.50.