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thefluffmuncher

  • one year ago

Need help to simplfy a squareroot with a fraction in it

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  1. thefluffmuncher
    • one year ago
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    \[\sqrt{\frac{ 20 }{ 7 }}\]

  2. pooja195
    • one year ago
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    Rationalize it

  3. thefluffmuncher
    • one year ago
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    |dw:1434134576438:dw| like this?

  4. mathmate
    • one year ago
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    That's a good start!

  5. thefluffmuncher
    • one year ago
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    i think what i have to do next is multiply the fraction by is denominator?

  6. pooja195
    • one year ago
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    yes

  7. thefluffmuncher
    • one year ago
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    which is \[\sqrt{7}\]

  8. pooja195
    • one year ago
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    correct keep going

  9. thefluffmuncher
    • one year ago
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    i know that the denominator will turn into 7 but the numerator

  10. pooja195
    • one year ago
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    \[\huge~\frac{ \sqrt{20} \times \sqrt{7}}{ \sqrt{7}\times \sqrt{7} }\]

  11. pooja195
    • one year ago
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    20 x 7 =?

  12. thefluffmuncher
    • one year ago
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    140

  13. pooja195
    • one year ago
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    good so the answer is....?

  14. thefluffmuncher
    • one year ago
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    i'm guessing you want me to factor 140 in that case it 35*4

  15. thefluffmuncher
    • one year ago
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    since you can take the squareroot of 4 it's 2 so the answer is \[2\sqrt{35}\]

  16. thefluffmuncher
    • one year ago
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    over 7

  17. thefluffmuncher
    • one year ago
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    is that correct?

  18. mathmate
    • one year ago
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    Yes, but write \(\Large \frac{2\sqrt{35}}{7}\)

  19. thefluffmuncher
    • one year ago
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    yea thanks :)

  20. mathmate
    • one year ago
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    You're welcome! :)

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