Square root of 7348

The square root of 7348 is 85.720476 (rounded to 6 decimal places). In simplest radical form it is 2√1837.

Square root of 7348

Pick any whole number from 1 to 10,000.

\sqrt{7348} = 2\sqrt{1837} \approx 85.720476

How to work it out

1
The square root of 7348 is the number that multiplied by itself gives 7348.
2
7348 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: 7348 = 4 × 1837, so
$\sqrt{7348} = \sqrt{4 \times 1837} = 2\sqrt{1837}$
4
A calculator, or long division of digits, gives
$\sqrt{7348} \approx 85.720476$

LaTeX source of the formulas on this page

\[ \sqrt{7348} = 2\sqrt{1837} \approx 85.720476 \]
\[ \sqrt{7348} = \sqrt{4 \times 1837} = 2\sqrt{1837} \]
\[ \sqrt{7348} \approx 85.720476 \]

What is the square root of 7348?

The square root of 7348 is 85.720476 (rounded to 6 decimal places). In simplest radical form it is 2√1837.

Is 7348 a perfect square?

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

What is 7348 squared?

7348 × 7348 = 53993104.

What is the square root of 7348 rounded to 2 decimals?

85.72.