Square root of 7267

The square root of 7267 is 85.246701 (rounded to 6 decimal places). In simplest radical form it is 13√43.

Square root of 7267

Pick any whole number from 1 to 10,000.

\sqrt{7267} = 13\sqrt{43} \approx 85.246701

How to work it out

1
The square root of 7267 is the number that multiplied by itself gives 7267.
2
7267 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: 7267 = 169 × 43, so
$\sqrt{7267} = \sqrt{169 \times 43} = 13\sqrt{43}$
4
A calculator, or long division of digits, gives
$\sqrt{7267} \approx 85.246701$

LaTeX source of the formulas on this page

\[ \sqrt{7267} = 13\sqrt{43} \approx 85.246701 \]
\[ \sqrt{7267} = \sqrt{169 \times 43} = 13\sqrt{43} \]
\[ \sqrt{7267} \approx 85.246701 \]

What is the square root of 7267?

The square root of 7267 is 85.246701 (rounded to 6 decimal places). In simplest radical form it is 13√43.

Is 7267 a perfect square?

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

What is 7267 squared?

7267 × 7267 = 52809289.

What is the square root of 7267 rounded to 2 decimals?

85.25.