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anonymous

  • 4 years ago

How do you rationalize √(1/12) ? the answer should be (√3)/6

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  1. anonymous
    • 4 years ago
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    Rationalize the denominator you mean?

  2. anonymous
    • 4 years ago
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    yes

  3. anonymous
    • 4 years ago
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    You would want the denominator to be the square root of a perfect square.

  4. anonymous
    • 4 years ago
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    Thus you need to multiply the numerator and denominator by a value to do this

  5. anonymous
    • 4 years ago
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    |dw:1327683116150:dw|

  6. anonymous
    • 4 years ago
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    You could also have multiplied by the sqrt(3)/sqrt(3), which would've elimated the factoring

  7. anonymous
    • 4 years ago
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    yes, many different ways to solve ...

  8. anonymous
    • 4 years ago
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    Anyways..understand alex?

  9. anonymous
    • 4 years ago
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    so \[\sqrt{3/64} = \sqrt{3}/8\] ?

  10. anonymous
    • 4 years ago
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    Not quite, I'll explain it a bit better

  11. anonymous
    • 4 years ago
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    To rationalize the denominator, you need to remove the roots by making the number inside the roots equal a whole number.

  12. anonymous
    • 4 years ago
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    So if you multiply both the numerator and denominator by sqrt(3), the denominator would be the sqrt(36), which is factorable to a whole number (6)

  13. anonymous
    • 4 years ago
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    Then carry out the multiplication of sqrt(3) in the numerator

  14. anonymous
    • 4 years ago
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    im confused, where did you get 36 from? i have square root of 3 over square root of 64

  15. anonymous
    • 4 years ago
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    ok

  16. anonymous
    • 4 years ago
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    sqrt(3)*sqrt(12)=?

  17. anonymous
    • 4 years ago
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    This is the denominator

  18. anonymous
    • 4 years ago
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    I get it now thank you

  19. anonymous
    • 4 years ago
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    NP

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