Square root of 7760

The square root of 7760 is 88.090862 (rounded to 6 decimal places). In simplest radical form it is 4√485.

Square root of 7760

Pick any whole number from 1 to 10,000.

\sqrt{7760} = 4\sqrt{485} \approx 88.090862

How to work it out

1
The square root of 7760 is the number that multiplied by itself gives 7760.
2
7760 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: 7760 = 16 × 485, so
$\sqrt{7760} = \sqrt{16 \times 485} = 4\sqrt{485}$
4
A calculator, or long division of digits, gives
$\sqrt{7760} \approx 88.090862$

LaTeX source of the formulas on this page

\[ \sqrt{7760} = 4\sqrt{485} \approx 88.090862 \]
\[ \sqrt{7760} = \sqrt{16 \times 485} = 4\sqrt{485} \]
\[ \sqrt{7760} \approx 88.090862 \]

What is the square root of 7760?

The square root of 7760 is 88.090862 (rounded to 6 decimal places). In simplest radical form it is 4√485.

Is 7760 a perfect square?

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

What is 7760 squared?

7760 × 7760 = 60217600.

What is the square root of 7760 rounded to 2 decimals?

88.09.