The first step for solving this expression is to convert the decimal number into a fraction.
6[tex] \sqrt{ \frac{2}{5} } [/tex]
Remember that in order to take a root of a fraction,, you must take the root of the numerator and denominator separately. This will look like the following:
6 × [tex] \frac{ \sqrt{2} }{ \sqrt{5} } [/tex]
Now calculate the product.
[tex] \frac{6 \sqrt{2}}{ \sqrt{5} } [/tex]
Lastly,, rationalize the denominator to find your final answer.
[tex] \frac{6 \sqrt{10} }{5} [/tex]
Let me know if you have any further questions.
:)
