Square root of 2250

The square root of 2250 is 47.434165 (rounded to 6 decimal places). In simplest radical form it is 15√10.

Square root of 2250

Pick any whole number from 1 to 10,000.

\sqrt{2250} = 15\sqrt{10} \approx 47.434165

How to work it out

1
The square root of 2250 is the number that multiplied by itself gives 2250.
2
2250 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: 2250 = 225 × 10, so
$\sqrt{2250} = \sqrt{225 \times 10} = 15\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{2250} \approx 47.434165$

LaTeX source of the formulas on this page

\[ \sqrt{2250} = 15\sqrt{10} \approx 47.434165 \]
\[ \sqrt{2250} = \sqrt{225 \times 10} = 15\sqrt{10} \]
\[ \sqrt{2250} \approx 47.434165 \]

What is the square root of 2250?

The square root of 2250 is 47.434165 (rounded to 6 decimal places). In simplest radical form it is 15√10.

Is 2250 a perfect square?

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

What is 2250 squared?

2250 × 2250 = 5062500.

What is the square root of 2250 rounded to 2 decimals?

47.43.