Square root of 7250

The square root of 7250 is 85.146932 (rounded to 6 decimal places). In simplest radical form it is 5√290.

Square root of 7250

Pick any whole number from 1 to 10,000.

\sqrt{7250} = 5\sqrt{290} \approx 85.146932

How to work it out

1
The square root of 7250 is the number that multiplied by itself gives 7250.
2
7250 is between the perfect squares 85² = 7225 and 86² = 7396, so its square root is between 85 and 86.
3
Pull out the biggest square factor: 7250 = 25 × 290, so
$\sqrt{7250} = \sqrt{25 \times 290} = 5\sqrt{290}$
4
A calculator, or long division of digits, gives
$\sqrt{7250} \approx 85.146932$

LaTeX source of the formulas on this page

\[ \sqrt{7250} = 5\sqrt{290} \approx 85.146932 \]
\[ \sqrt{7250} = \sqrt{25 \times 290} = 5\sqrt{290} \]
\[ \sqrt{7250} \approx 85.146932 \]

What is the square root of 7250?

The square root of 7250 is 85.146932 (rounded to 6 decimal places). In simplest radical form it is 5√290.

Is 7250 a perfect square?

No. It lies between 85² = 7225 and 86² = 7396.

What is 7250 squared?

7250 × 7250 = 52562500.

What is the square root of 7250 rounded to 2 decimals?

85.15.