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ValentinaT Group Title

Simplify 4√6/√30 by rationalizing the denominator. Please show steps!

  • one year ago
  • one year ago

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  1. ValentinaT Group Title
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    \[\frac{ 4√6 }{ \sqrt{30} }\]

    • one year ago
  2. ValentinaT Group Title
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    Thanks.

    • one year ago
  3. kausarsalley Group Title
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    \[\frac{ 4\sqrt6 }{ \sqrt{30} } \times \frac{ \sqrt{30} }{ \sqrt{30} }\] \[\frac{ 4\sqrt6 (\sqrt{30}) }{ \sqrt{30}\times \sqrt{30} }\] \[\frac{ 4\sqrt{180} }{ 30 }\] \[\frac{ 24\sqrt5 }{ 30 }\] \[\frac{ 4\sqrt5 }{ 5 }\]

    • one year ago
  4. ValentinaT Group Title
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    @kausarsalley could you help me one more time?

    • one year ago
  5. kausarsalley Group Title
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    okay...what is the question??

    • one year ago
  6. ValentinaT Group Title
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    \[(2\sqrt{5} + 3\sqrt{7})^2 \]

    • one year ago
  7. kausarsalley Group Title
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    okay....the simplest way to expand is to go by this... \[(a+b)^2=a^2+2ab+b^2\]

    • one year ago
  8. ValentinaT Group Title
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    It also says to justify each step? Does that mean I have to explain each step?

    • one year ago
  9. kausarsalley Group Title
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    using that, \[(2\sqrt5+3\sqrt7)^2=(2\sqrt5)^2+2(2\sqrt5)(3\sqrt7)+(3\sqrt7)^2\]

    • one year ago
  10. ValentinaT Group Title
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    Thanks.

    • one year ago
  11. kausarsalley Group Title
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    its not done with simplifying..

    • one year ago
  12. kausarsalley Group Title
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    or can you continue from there??

    • one year ago
  13. ValentinaT Group Title
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    Oh, I was just saying.

    • one year ago
  14. ValentinaT Group Title
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    I'm not sure what to do.

    • one year ago
  15. kausarsalley Group Title
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    \[(2^2(\sqrt5)^2)+4\sqrt5(3\sqrt7)+(3^2(\sqrt7)^2\] \[20 + 12\sqrt{35}+63\] \[83+12\sqrt{35}\]

    • one year ago
  16. kausarsalley Group Title
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    do you understand what i have done??

    • one year ago
  17. ValentinaT Group Title
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    I think I might, is that the final answer?

    • one year ago
  18. ValentinaT Group Title
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    Thanks.

    • one year ago
  19. kausarsalley Group Title
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    sorry for the late reply.... yw

    • one year ago
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