Square root of 7264

The square root of 7264 is 85.229103 (rounded to 6 decimal places). In simplest radical form it is 4√454.

Square root of 7264

Pick any whole number from 1 to 10,000.

\sqrt{7264} = 4\sqrt{454} \approx 85.229103

How to work it out

1
The square root of 7264 is the number that multiplied by itself gives 7264.
2
7264 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: 7264 = 16 × 454, so
$\sqrt{7264} = \sqrt{16 \times 454} = 4\sqrt{454}$
4
A calculator, or long division of digits, gives
$\sqrt{7264} \approx 85.229103$

LaTeX source of the formulas on this page

\[ \sqrt{7264} = 4\sqrt{454} \approx 85.229103 \]
\[ \sqrt{7264} = \sqrt{16 \times 454} = 4\sqrt{454} \]
\[ \sqrt{7264} \approx 85.229103 \]

What is the square root of 7264?

The square root of 7264 is 85.229103 (rounded to 6 decimal places). In simplest radical form it is 4√454.

Is 7264 a perfect square?

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

What is 7264 squared?

7264 × 7264 = 52765696.

What is the square root of 7264 rounded to 2 decimals?

85.23.