Square root of 7792

The square root of 7792 is 88.272306 (rounded to 6 decimal places). In simplest radical form it is 4√487.

Square root of 7792

Pick any whole number from 1 to 10,000.

\sqrt{7792} = 4\sqrt{487} \approx 88.272306

How to work it out

1
The square root of 7792 is the number that multiplied by itself gives 7792.
2
7792 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: 7792 = 16 × 487, so
$\sqrt{7792} = \sqrt{16 \times 487} = 4\sqrt{487}$
4
A calculator, or long division of digits, gives
$\sqrt{7792} \approx 88.272306$

LaTeX source of the formulas on this page

\[ \sqrt{7792} = 4\sqrt{487} \approx 88.272306 \]
\[ \sqrt{7792} = \sqrt{16 \times 487} = 4\sqrt{487} \]
\[ \sqrt{7792} \approx 88.272306 \]

What is the square root of 7792?

The square root of 7792 is 88.272306 (rounded to 6 decimal places). In simplest radical form it is 4√487.

Is 7792 a perfect square?

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

What is 7792 squared?

7792 × 7792 = 60715264.

What is the square root of 7792 rounded to 2 decimals?

88.27.