To solve the expression [tex]\( \sqrt[2]{\frac{2}{3}} \)[/tex], we need to follow these steps:
1. Identify the fraction to be simplified inside the radical:
[tex]\[ \frac{2}{3} \][/tex]
2. Express the radical form as an exponent:
[tex]\[ \sqrt[2]{\frac{2}{3}} \text{ is equivalent to } \left(\frac{2}{3}\right)^{\frac{1}{2}} \][/tex]
3. Calculate the result:
To calculate [tex]\( \left(\frac{2}{3}\right)^{\frac{1}{2}} \)[/tex], we take the square root of the fraction [tex]\(\frac{2}{3}\)[/tex].
The numerical result of this calculation is:
[tex]\[
0.816496580927726
\][/tex]
Therefore, [tex]\( \sqrt[2]{\frac{2}{3}} = 0.816496580927726 \)[/tex].
