Square root of 5275

The square root of 5275 is 72.629195 (rounded to 6 decimal places). In simplest radical form it is 5√211.

Square root of 5275

Pick any whole number from 1 to 10,000.

\sqrt{5275} = 5\sqrt{211} \approx 72.629195

How to work it out

1
The square root of 5275 is the number that multiplied by itself gives 5275.
2
5275 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: 5275 = 25 × 211, so
$\sqrt{5275} = \sqrt{25 \times 211} = 5\sqrt{211}$
4
A calculator, or long division of digits, gives
$\sqrt{5275} \approx 72.629195$

LaTeX source of the formulas on this page

\[ \sqrt{5275} = 5\sqrt{211} \approx 72.629195 \]
\[ \sqrt{5275} = \sqrt{25 \times 211} = 5\sqrt{211} \]
\[ \sqrt{5275} \approx 72.629195 \]

What is the square root of 5275?

The square root of 5275 is 72.629195 (rounded to 6 decimal places). In simplest radical form it is 5√211.

Is 5275 a perfect square?

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

What is 5275 squared?

5275 × 5275 = 27825625.

What is the square root of 5275 rounded to 2 decimals?

72.63.