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What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)
4 months ago
Q:
What is the simplified form of the following expression 7(^3√2x)-3(^3√16x)-3(^3√8x)
Accepted Solution
A:
[tex]7 \sqrt[3]{2x} - 3 \sqrt[3]{16x} - 3 \sqrt[3]{8x}[/tex]
[tex]7 \sqrt[3]{2x} - 3 \sqrt[3]{8 \times 2x} - 3 \sqrt[3]{4 \times 2x}[/tex]
[tex] \sqrt[3]{2x} ( 7 - 3 \sqrt[3]{8} - 3 \sqrt[3]{4})[/tex]
[tex] \sqrt[3]{2x} ( 7 - 6 - 3 \sqrt[3]{4})[/tex]
[tex] \sqrt[3]{2x} ( 1 - 3 \sqrt[3]{4})[/tex]
[tex] \sqrt[3]{2x} - 3 \sqrt[3]{8x}[/tex]
[tex] \sqrt[3]{2x} - 6 \sqrt[3]{x}[/tex]