Square root of 7688

The square root of 7688 is 87.681241 (rounded to 6 decimal places). In simplest radical form it is 62√2.

Square root of 7688

Pick any whole number from 1 to 10,000.

\sqrt{7688} = 62\sqrt{2} \approx 87.681241

How to work it out

1
The square root of 7688 is the number that multiplied by itself gives 7688.
2
7688 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: 7688 = 3844 × 2, so
$\sqrt{7688} = \sqrt{3844 \times 2} = 62\sqrt{2}$
4
A calculator, or long division of digits, gives
$\sqrt{7688} \approx 87.681241$

LaTeX source of the formulas on this page

\[ \sqrt{7688} = 62\sqrt{2} \approx 87.681241 \]
\[ \sqrt{7688} = \sqrt{3844 \times 2} = 62\sqrt{2} \]
\[ \sqrt{7688} \approx 87.681241 \]

What is the square root of 7688?

The square root of 7688 is 87.681241 (rounded to 6 decimal places). In simplest radical form it is 62√2.

Is 7688 a perfect square?

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

What is 7688 squared?

7688 × 7688 = 59105344.

What is the square root of 7688 rounded to 2 decimals?

87.68.