Square root of 7460

The square root of 7460 is 86.371292 (rounded to 6 decimal places). In simplest radical form it is 2√1865.

Square root of 7460

Pick any whole number from 1 to 10,000.

\sqrt{7460} = 2\sqrt{1865} \approx 86.371292

How to work it out

1
The square root of 7460 is the number that multiplied by itself gives 7460.
2
7460 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: 7460 = 4 × 1865, so
$\sqrt{7460} = \sqrt{4 \times 1865} = 2\sqrt{1865}$
4
A calculator, or long division of digits, gives
$\sqrt{7460} \approx 86.371292$

LaTeX source of the formulas on this page

\[ \sqrt{7460} = 2\sqrt{1865} \approx 86.371292 \]
\[ \sqrt{7460} = \sqrt{4 \times 1865} = 2\sqrt{1865} \]
\[ \sqrt{7460} \approx 86.371292 \]

What is the square root of 7460?

The square root of 7460 is 86.371292 (rounded to 6 decimal places). In simplest radical form it is 2√1865.

Is 7460 a perfect square?

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

What is 7460 squared?

7460 × 7460 = 55651600.

What is the square root of 7460 rounded to 2 decimals?

86.37.