Square root of 7125

The square root of 7125 is 84.409715 (rounded to 6 decimal places). In simplest radical form it is 5√285.

Square root of 7125

Pick any whole number from 1 to 10,000.

\sqrt{7125} = 5\sqrt{285} \approx 84.409715

How to work it out

1
The square root of 7125 is the number that multiplied by itself gives 7125.
2
7125 is between the perfect squares 84² = 7056 and 85² = 7225, so its square root is between 84 and 85.
3
Pull out the biggest square factor: 7125 = 25 × 285, so
$\sqrt{7125} = \sqrt{25 \times 285} = 5\sqrt{285}$
4
A calculator, or long division of digits, gives
$\sqrt{7125} \approx 84.409715$

LaTeX source of the formulas on this page

\[ \sqrt{7125} = 5\sqrt{285} \approx 84.409715 \]
\[ \sqrt{7125} = \sqrt{25 \times 285} = 5\sqrt{285} \]
\[ \sqrt{7125} \approx 84.409715 \]

What is the square root of 7125?

The square root of 7125 is 84.409715 (rounded to 6 decimal places). In simplest radical form it is 5√285.

Is 7125 a perfect square?

No. It lies between 84² = 7056 and 85² = 7225.

What is 7125 squared?

7125 × 7125 = 50765625.

What is the square root of 7125 rounded to 2 decimals?

84.41.