Answer:
[tex]\dfrac{-2\sqrt2}{3}[/tex] is the answer.
Step-by-step explanation:
The given expression is :
[tex]\dfrac{-4}{3\sqrt2}[/tex] .. (1)
We need to simplify the above expression.
Multiply both numerator and denominator by [tex]\sqrt{2}[/tex].
[tex]\dfrac{-4}{3\sqrt2}\times \dfrac{\sqrt2}{\sqrt2}\\\\=\dfrac{-4\times \sqrt2}{3\times 2}\ \ [\because\ \sqrt2\times \sqrt2=2]\\\\=\dfrac{-2\sqrt2}{3}[/tex]
So, the simplified form of the above expression is [tex]\dfrac{-2\sqrt2}{3}[/tex]. Hence, the correct option is (B).
