lindsayratcliffe04
lindsayratcliffe04 lindsayratcliffe04
  • 19-04-2021
  • Mathematics
contestada

what is the following product? 3sqrt4 times sqrt3​

what is the following product 3sqrt4 times sqrt3 class=

Respuesta :

kimchiboy03 kimchiboy03
  • 19-04-2021

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

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