Seudónimo Seudónimo
  • 24-03-2022
  • Mathematics
contestada

Which expression is equivalent to 24^1/4

Which expression is equivalent to 2414 class=

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fieryanswererft
fieryanswererft fieryanswererft
  • 24-03-2022

Answer:

[tex]2\sqrt[3]{3}[/tex]

explanation:

[tex]\rightarrow \sf 24^{\frac{1}{3}}[/tex]

[tex]\rightarrow \sf \sqrt[3]{24}[/tex]

[tex]\rightarrow \sf \sqrt[3]{2*2*2*3}[/tex]

[tex]\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}[/tex]

[tex]\sf \rightarrow 2\sqrt[3]{3}[/tex]

Answer Link
zlskfrum zlskfrum
  • 24-03-2022

Answer:

Step-by-step explanation:

24^(1/3)

=(8*3)^(1/3)

=(8)^(1/3)*(3)^(1/3)

=(2^3)^(1/3)*3^(1/3)

=2*(3)^(1/3)

or [tex]2\sqrt[3]{3}[/tex]

Answer Link

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