Square root of 2225

The square root of 2225 is 47.169906 (rounded to 6 decimal places). In simplest radical form it is 5√89.

Square root of 2225

Pick any whole number from 1 to 10,000.

\sqrt{2225} = 5\sqrt{89} \approx 47.169906

How to work it out

1
The square root of 2225 is the number that multiplied by itself gives 2225.
2
2225 is between the perfect squares 47² = 2209 and 48² = 2304, so its square root is between 47 and 48.
3
Pull out the biggest square factor: 2225 = 25 × 89, so
$\sqrt{2225} = \sqrt{25 \times 89} = 5\sqrt{89}$
4
A calculator, or long division of digits, gives
$\sqrt{2225} \approx 47.169906$

LaTeX source of the formulas on this page

\[ \sqrt{2225} = 5\sqrt{89} \approx 47.169906 \]
\[ \sqrt{2225} = \sqrt{25 \times 89} = 5\sqrt{89} \]
\[ \sqrt{2225} \approx 47.169906 \]

What is the square root of 2225?

The square root of 2225 is 47.169906 (rounded to 6 decimal places). In simplest radical form it is 5√89.

Is 2225 a perfect square?

No. It lies between 47² = 2209 and 48² = 2304.

What is 2225 squared?

2225 × 2225 = 4950625.

What is the square root of 2225 rounded to 2 decimals?

47.17.