Square root of 7552

The square root of 7552 is 86.902244 (rounded to 6 decimal places). In simplest radical form it is 8√118.

Square root of 7552

Pick any whole number from 1 to 10,000.

\sqrt{7552} = 8\sqrt{118} \approx 86.902244

How to work it out

1
The square root of 7552 is the number that multiplied by itself gives 7552.
2
7552 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: 7552 = 64 × 118, so
$\sqrt{7552} = \sqrt{64 \times 118} = 8\sqrt{118}$
4
A calculator, or long division of digits, gives
$\sqrt{7552} \approx 86.902244$

LaTeX source of the formulas on this page

\[ \sqrt{7552} = 8\sqrt{118} \approx 86.902244 \]
\[ \sqrt{7552} = \sqrt{64 \times 118} = 8\sqrt{118} \]
\[ \sqrt{7552} \approx 86.902244 \]

What is the square root of 7552?

The square root of 7552 is 86.902244 (rounded to 6 decimal places). In simplest radical form it is 8√118.

Is 7552 a perfect square?

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

What is 7552 squared?

7552 × 7552 = 57032704.

What is the square root of 7552 rounded to 2 decimals?

86.90.