Square root of 7700

The square root of 7700 is 87.749644 (rounded to 6 decimal places). In simplest radical form it is 10√77.

Square root of 7700

Pick any whole number from 1 to 10,000.

\sqrt{7700} = 10\sqrt{77} \approx 87.749644

How to work it out

1
The square root of 7700 is the number that multiplied by itself gives 7700.
2
7700 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
3
Pull out the biggest square factor: 7700 = 100 × 77, so
$\sqrt{7700} = \sqrt{100 \times 77} = 10\sqrt{77}$
4
A calculator, or long division of digits, gives
$\sqrt{7700} \approx 87.749644$

LaTeX source of the formulas on this page

\[ \sqrt{7700} = 10\sqrt{77} \approx 87.749644 \]
\[ \sqrt{7700} = \sqrt{100 \times 77} = 10\sqrt{77} \]
\[ \sqrt{7700} \approx 87.749644 \]

What is the square root of 7700?

The square root of 7700 is 87.749644 (rounded to 6 decimal places). In simplest radical form it is 10√77.

Is 7700 a perfect square?

No. It lies between 87² = 7569 and 88² = 7744.

What is 7700 squared?

7700 × 7700 = 59290000.

What is the square root of 7700 rounded to 2 decimals?

87.75.