Respuesta :
[tex] \sqrt[3]{ \frac{12x ^{2} }{16y} } = \sqrt[3]{\frac{3x ^{2} }{4y} } [/tex]
Answer:
The simplest form of the following expression is [tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex]
Step-by-step explanation:
The given expression is
[tex]\sqrt[3]{\frac{12x^2}{16y}}[/tex]
Factor the numerator and denominator.
[tex]\sqrt[3]{\frac{3\times 4\times x^2}{4\times 4\times y}}[/tex]
3 is common factor. Cancel out the common factor.
[tex]\sqrt[3]{\frac{3\times x^2}{4\times y}}[/tex]
[tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex]
Therefore the simplest form of the following expression is [tex]\sqrt[3]{\frac{3x^2}{4y}}[/tex].
