Square root of 7456

The square root of 7456 is 86.348133 (rounded to 6 decimal places). In simplest radical form it is 4√466.

Square root of 7456

Pick any whole number from 1 to 10,000.

\sqrt{7456} = 4\sqrt{466} \approx 86.348133

How to work it out

1
The square root of 7456 is the number that multiplied by itself gives 7456.
2
7456 is between the perfect squares 86² = 7396 and 87² = 7569, so its square root is between 86 and 87.
3
Pull out the biggest square factor: 7456 = 16 × 466, so
$\sqrt{7456} = \sqrt{16 \times 466} = 4\sqrt{466}$
4
A calculator, or long division of digits, gives
$\sqrt{7456} \approx 86.348133$

LaTeX source of the formulas on this page

\[ \sqrt{7456} = 4\sqrt{466} \approx 86.348133 \]
\[ \sqrt{7456} = \sqrt{16 \times 466} = 4\sqrt{466} \]
\[ \sqrt{7456} \approx 86.348133 \]

What is the square root of 7456?

The square root of 7456 is 86.348133 (rounded to 6 decimal places). In simplest radical form it is 4√466.

Is 7456 a perfect square?

No. It lies between 86² = 7396 and 87² = 7569.

What is 7456 squared?

7456 × 7456 = 55591936.

What is the square root of 7456 rounded to 2 decimals?

86.35.