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ValentinaT

  • 2 years ago

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

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  1. ValentinaT
    • 2 years ago
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    \[\frac{ 4√6 }{ \sqrt{30} }\]

  2. ValentinaT
    • 2 years ago
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    Thanks.

  3. kausarsalley
    • 2 years ago
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    \[\frac{ 4\sqrt6 }{ \sqrt{30} } \times \frac{ \sqrt{30} }{ \sqrt{30} }\] \[\frac{ 4\sqrt6 (\sqrt{30}) }{ \sqrt{30}\times \sqrt{30} }\] \[\frac{ 4\sqrt{180} }{ 30 }\] \[\frac{ 24\sqrt5 }{ 30 }\] \[\frac{ 4\sqrt5 }{ 5 }\]

  4. ValentinaT
    • 2 years ago
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    @kausarsalley could you help me one more time?

  5. kausarsalley
    • 2 years ago
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    okay...what is the question??

  6. ValentinaT
    • 2 years ago
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    \[(2\sqrt{5} + 3\sqrt{7})^2 \]

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

  8. ValentinaT
    • 2 years ago
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    It also says to justify each step? Does that mean I have to explain each step?

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

  10. ValentinaT
    • 2 years ago
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    Thanks.

  11. kausarsalley
    • 2 years ago
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    its not done with simplifying..

  12. kausarsalley
    • 2 years ago
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    or can you continue from there??

  13. ValentinaT
    • 2 years ago
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    Oh, I was just saying.

  14. ValentinaT
    • 2 years ago
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    I'm not sure what to do.

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

  16. kausarsalley
    • 2 years ago
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    do you understand what i have done??

  17. ValentinaT
    • 2 years ago
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    I think I might, is that the final answer?

  18. ValentinaT
    • 2 years ago
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    Thanks.

  19. kausarsalley
    • 2 years ago
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    sorry for the late reply.... yw

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