Square root of 7304

The square root of 7304 is 85.463442 (rounded to 6 decimal places). In simplest radical form it is 2√1826.

Square root of 7304

Pick any whole number from 1 to 10,000.

\sqrt{7304} = 2\sqrt{1826} \approx 85.463442

How to work it out

1
The square root of 7304 is the number that multiplied by itself gives 7304.
2
7304 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: 7304 = 4 × 1826, so
$\sqrt{7304} = \sqrt{4 \times 1826} = 2\sqrt{1826}$
4
A calculator, or long division of digits, gives
$\sqrt{7304} \approx 85.463442$

LaTeX source of the formulas on this page

\[ \sqrt{7304} = 2\sqrt{1826} \approx 85.463442 \]
\[ \sqrt{7304} = \sqrt{4 \times 1826} = 2\sqrt{1826} \]
\[ \sqrt{7304} \approx 85.463442 \]

What is the square root of 7304?

The square root of 7304 is 85.463442 (rounded to 6 decimal places). In simplest radical form it is 2√1826.

Is 7304 a perfect square?

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

What is 7304 squared?

7304 × 7304 = 53348416.

What is the square root of 7304 rounded to 2 decimals?

85.46.