Square root of 7364

The square root of 7364 is 85.813752 (rounded to 6 decimal places). In simplest radical form it is 2√1841.

Square root of 7364

Pick any whole number from 1 to 10,000.

\sqrt{7364} = 2\sqrt{1841} \approx 85.813752

How to work it out

1
The square root of 7364 is the number that multiplied by itself gives 7364.
2
7364 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: 7364 = 4 × 1841, so
$\sqrt{7364} = \sqrt{4 \times 1841} = 2\sqrt{1841}$
4
A calculator, or long division of digits, gives
$\sqrt{7364} \approx 85.813752$

LaTeX source of the formulas on this page

\[ \sqrt{7364} = 2\sqrt{1841} \approx 85.813752 \]
\[ \sqrt{7364} = \sqrt{4 \times 1841} = 2\sqrt{1841} \]
\[ \sqrt{7364} \approx 85.813752 \]

What is the square root of 7364?

The square root of 7364 is 85.813752 (rounded to 6 decimal places). In simplest radical form it is 2√1841.

Is 7364 a perfect square?

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

What is 7364 squared?

7364 × 7364 = 54228496.

What is the square root of 7364 rounded to 2 decimals?

85.81.