Square root of 7520

The square root of 7520 is 86.717934 (rounded to 6 decimal places). In simplest radical form it is 4√470.

Square root of 7520

Pick any whole number from 1 to 10,000.

\sqrt{7520} = 4\sqrt{470} \approx 86.717934

How to work it out

1
The square root of 7520 is the number that multiplied by itself gives 7520.
2
7520 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7520 = 16 × 470, so
$\sqrt{7520} = \sqrt{16 \times 470} = 4\sqrt{470}$
4
A calculator, or long division of digits, gives
$\sqrt{7520} \approx 86.717934$

LaTeX source of the formulas on this page

\[ \sqrt{7520} = 4\sqrt{470} \approx 86.717934 \]
\[ \sqrt{7520} = \sqrt{16 \times 470} = 4\sqrt{470} \]
\[ \sqrt{7520} \approx 86.717934 \]

What is the square root of 7520?

The square root of 7520 is 86.717934 (rounded to 6 decimal places). In simplest radical form it is 4√470.

Is 7520 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7520 squared?

7520 × 7520 = 56550400.

What is the square root of 7520 rounded to 2 decimals?

86.72.