Square root of 5212

The square root of 5212 is 72.194183 (rounded to 6 decimal places). In simplest radical form it is 2√1303.

Square root of 5212

Pick any whole number from 1 to 10,000.

\sqrt{5212} = 2\sqrt{1303} \approx 72.194183

How to work it out

1
The square root of 5212 is the number that multiplied by itself gives 5212.
2
5212 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: 5212 = 4 × 1303, so
$\sqrt{5212} = \sqrt{4 \times 1303} = 2\sqrt{1303}$
4
A calculator, or long division of digits, gives
$\sqrt{5212} \approx 72.194183$

LaTeX source of the formulas on this page

\[ \sqrt{5212} = 2\sqrt{1303} \approx 72.194183 \]
\[ \sqrt{5212} = \sqrt{4 \times 1303} = 2\sqrt{1303} \]
\[ \sqrt{5212} \approx 72.194183 \]

What is the square root of 5212?

The square root of 5212 is 72.194183 (rounded to 6 decimal places). In simplest radical form it is 2√1303.

Is 5212 a perfect square?

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

What is 5212 squared?

5212 × 5212 = 27164944.

What is the square root of 5212 rounded to 2 decimals?

72.19.