Square root of 7420

The square root of 7420 is 86.139422 (rounded to 6 decimal places). In simplest radical form it is 2√1855.

Square root of 7420

Pick any whole number from 1 to 10,000.

\sqrt{7420} = 2\sqrt{1855} \approx 86.139422

How to work it out

1
The square root of 7420 is the number that multiplied by itself gives 7420.
2
7420 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: 7420 = 4 × 1855, so
$\sqrt{7420} = \sqrt{4 \times 1855} = 2\sqrt{1855}$
4
A calculator, or long division of digits, gives
$\sqrt{7420} \approx 86.139422$

LaTeX source of the formulas on this page

\[ \sqrt{7420} = 2\sqrt{1855} \approx 86.139422 \]
\[ \sqrt{7420} = \sqrt{4 \times 1855} = 2\sqrt{1855} \]
\[ \sqrt{7420} \approx 86.139422 \]

What is the square root of 7420?

The square root of 7420 is 86.139422 (rounded to 6 decimal places). In simplest radical form it is 2√1855.

Is 7420 a perfect square?

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

What is 7420 squared?

7420 × 7420 = 55056400.

What is the square root of 7420 rounded to 2 decimals?

86.14.