Square root of 7340

The square root of 7340 is 85.6738 (rounded to 6 decimal places). In simplest radical form it is 2√1835.

Square root of 7340

Pick any whole number from 1 to 10,000.

\sqrt{7340} = 2\sqrt{1835} \approx 85.6738

How to work it out

1
The square root of 7340 is the number that multiplied by itself gives 7340.
2
7340 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: 7340 = 4 × 1835, so
$\sqrt{7340} = \sqrt{4 \times 1835} = 2\sqrt{1835}$
4
A calculator, or long division of digits, gives
$\sqrt{7340} \approx 85.6738$

LaTeX source of the formulas on this page

\[ \sqrt{7340} = 2\sqrt{1835} \approx 85.6738 \]
\[ \sqrt{7340} = \sqrt{4 \times 1835} = 2\sqrt{1835} \]
\[ \sqrt{7340} \approx 85.6738 \]

What is the square root of 7340?

The square root of 7340 is 85.6738 (rounded to 6 decimal places). In simplest radical form it is 2√1835.

Is 7340 a perfect square?

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

What is 7340 squared?

7340 × 7340 = 53875600.

What is the square root of 7340 rounded to 2 decimals?

85.67.