Square root of 7316

The square root of 7316 is 85.533619 (rounded to 6 decimal places). In simplest radical form it is 2√1829.

Square root of 7316

Pick any whole number from 1 to 10,000.

\sqrt{7316} = 2\sqrt{1829} \approx 85.533619

How to work it out

1
The square root of 7316 is the number that multiplied by itself gives 7316.
2
7316 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: 7316 = 4 × 1829, so
$\sqrt{7316} = \sqrt{4 \times 1829} = 2\sqrt{1829}$
4
A calculator, or long division of digits, gives
$\sqrt{7316} \approx 85.533619$

LaTeX source of the formulas on this page

\[ \sqrt{7316} = 2\sqrt{1829} \approx 85.533619 \]
\[ \sqrt{7316} = \sqrt{4 \times 1829} = 2\sqrt{1829} \]
\[ \sqrt{7316} \approx 85.533619 \]

What is the square root of 7316?

The square root of 7316 is 85.533619 (rounded to 6 decimal places). In simplest radical form it is 2√1829.

Is 7316 a perfect square?

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

What is 7316 squared?

7316 × 7316 = 53523856.

What is the square root of 7316 rounded to 2 decimals?

85.53.