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careless850

  • 3 years ago

Find the exact value of the radical expression in simplest form.

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  1. careless850
    • 3 years ago
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    \[\sqrt{p^{6}} + \sqrt{9p^{6}} + 3\sqrt{p^{6}} - \sqrt{p{2}}\]

  2. zepp
    • 3 years ago
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    That thing at the end, is it \(\sqrt{p^2}\)?

  3. zepp
    • 3 years ago
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    If so, we know that \[\sqrt{9p^6}=3\sqrt{p6}\]

  4. zepp
    • 3 years ago
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    And \[\sqrt{p^2}=p\]

  5. zepp
    • 3 years ago
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    \(\large \sqrt{p^6}+3\sqrt{p^6}+3\sqrt{p^6}-p\)

  6. zepp
    • 3 years ago
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    Treat \(\sqrt{p^6}\) as a variable and factor \(\large (3+3+1)\sqrt{p^6}-p\)

  7. zepp
    • 3 years ago
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    \(\large 7\sqrt{p^6}-p\)

  8. waterineyes
    • 3 years ago
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    \[p^3 + 3p^3 + 3p^3 - p = ???\]

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