Square root of 5225

The square root of 5225 is 72.284161 (rounded to 6 decimal places). In simplest radical form it is 5√209.

Square root of 5225

Pick any whole number from 1 to 10,000.

\sqrt{5225} = 5\sqrt{209} \approx 72.284161

How to work it out

1
The square root of 5225 is the number that multiplied by itself gives 5225.
2
5225 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: 5225 = 25 × 209, so
$\sqrt{5225} = \sqrt{25 \times 209} = 5\sqrt{209}$
4
A calculator, or long division of digits, gives
$\sqrt{5225} \approx 72.284161$

LaTeX source of the formulas on this page

\[ \sqrt{5225} = 5\sqrt{209} \approx 72.284161 \]
\[ \sqrt{5225} = \sqrt{25 \times 209} = 5\sqrt{209} \]
\[ \sqrt{5225} \approx 72.284161 \]

What is the square root of 5225?

The square root of 5225 is 72.284161 (rounded to 6 decimal places). In simplest radical form it is 5√209.

Is 5225 a perfect square?

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

What is 5225 squared?

5225 × 5225 = 27300625.

What is the square root of 5225 rounded to 2 decimals?

72.28.