Square root of 7872

The square root of 7872 is 88.724292 (rounded to 6 decimal places). In simplest radical form it is 8√123.

Square root of 7872

Pick any whole number from 1 to 10,000.

\sqrt{7872} = 8\sqrt{123} \approx 88.724292

How to work it out

1
The square root of 7872 is the number that multiplied by itself gives 7872.
2
7872 is between the perfect squares 88² = 7744 and 89² = 7921, so its square root is between 88 and 89.
3
Pull out the biggest square factor: 7872 = 64 × 123, so
$\sqrt{7872} = \sqrt{64 \times 123} = 8\sqrt{123}$
4
A calculator, or long division of digits, gives
$\sqrt{7872} \approx 88.724292$

LaTeX source of the formulas on this page

\[ \sqrt{7872} = 8\sqrt{123} \approx 88.724292 \]
\[ \sqrt{7872} = \sqrt{64 \times 123} = 8\sqrt{123} \]
\[ \sqrt{7872} \approx 88.724292 \]

What is the square root of 7872?

The square root of 7872 is 88.724292 (rounded to 6 decimal places). In simplest radical form it is 8√123.

Is 7872 a perfect square?

No. It lies between 88² = 7744 and 89² = 7921.

What is 7872 squared?

7872 × 7872 = 61968384.

What is the square root of 7872 rounded to 2 decimals?

88.72.