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kiamonstaa Group Title

what is the exact value of the expression?

  • 2 years ago
  • 2 years ago

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  1. kiamonstaa Group Title
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    \[\sqrt{45}-\sqrt{75}+\sqrt{192}\]

    • 2 years ago
  2. helder_edwin Group Title
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    \[ \large \sqrt{45}=\sqrt{5\cdot9}=3\sqrt{5} \]

    • 2 years ago
  3. helder_edwin Group Title
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    do the same with the other roots.

    • 2 years ago
  4. kiamonstaa Group Title
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    for the sqrt75 i got sqrt5*7*2

    • 2 years ago
  5. kiamonstaa Group Title
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    im stuck there

    • 2 years ago
  6. satellite73 Group Title
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    i think \(75=25\times 3\)

    • 2 years ago
  7. helder_edwin Group Title
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    right

    • 2 years ago
  8. kiamonstaa Group Title
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    ohh..makes sense

    • 2 years ago
  9. satellite73 Group Title
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    making \(\sqrt{75}=\sqrt{25\times 3}=\sqrt{25}\times \sqrt{3}=5\sqrt{3}\)

    • 2 years ago
  10. helder_edwin Group Title
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    now do the same with 192

    • 2 years ago
  11. helder_edwin Group Title
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    \[ \large \sqrt{192}= \]

    • 2 years ago
  12. kiamonstaa Group Title
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    would it be 4sqrt6?

    • 2 years ago
  13. helder_edwin Group Title
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    i got \[ \large \sqrt{192}=\sqrt{2^6\cdot3}=2^3\cdot\sqrt{3}=8\sqrt{3} \]

    • 2 years ago
  14. kiamonstaa Group Title
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    oh okay. i missed a 2

    • 2 years ago
  15. kiamonstaa Group Title
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    so how would i simplify all that?

    • 2 years ago
  16. helder_edwin Group Title
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    now plug in everything: \[ \large \sqrt{45}-\sqrt{75}+\sqrt{192}=3\sqrt{5}-5\sqrt{3}+8\sqrt{3} \]

    • 2 years ago
  17. helder_edwin Group Title
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    now combine like terms.

    • 2 years ago
  18. kiamonstaa Group Title
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    do you add or multiply?

    • 2 years ago
  19. helder_edwin Group Title
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    add or substract

    • 2 years ago
  20. kiamonstaa Group Title
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    oh okay so 6 sqrt 11?

    • 2 years ago
  21. goformit100 Group Title
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    yeah

    • 2 years ago
  22. kiamonstaa Group Title
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    okay thx

    • 2 years ago
  23. helder_edwin Group Title
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    \[ \large =3\sqrt{5}+3\sqrt{3}=3(\sqrt{5}+\sqrt{3}) \]

    • 2 years ago
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