482ericksonyoungr
482ericksonyoungr 482ericksonyoungr
  • 09-07-2020
  • Mathematics
contestada

what is the simplified form of this expression 7(^3sqrt2x)-3(^3sqrt16x)-3(^3sqrt8x)

what is the simplified form of this expression 73sqrt2x33sqrt16x33sqrt8x class=

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TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 09-07-2020

Answer:

[tex]7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

Solution,

[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x} ) - 3( \sqrt[3]{8x} ) \\ = 7 \sqrt[3]{2x} - 3 \times ( \sqrt[3]{2 \times 2 \times 2 \times 2x} - 3 \times \sqrt[3]{2 \times 2 \times 2x} \\ = 7 \sqrt[3]{2x} - 3 \times (2 \sqrt[3]{2} x) - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 3 \times 2 \times \sqrt[3]{2x} - 3 \times 2x \\ = 7 \sqrt[3]{2x} - 6 \sqrt[3]{2x} - 6x[/tex]

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