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anonymous

  • 5 years ago

equation that I need help with is 8 over 3 plus sqrt 7

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  1. dumbcow
    • 5 years ago
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    \[\frac{8}{3+\sqrt{7}}\]

  2. dumbcow
    • 5 years ago
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    is that it

  3. dumbcow
    • 5 years ago
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    well if it is multiply top and bottom by conjugate \[\frac{8}{3+\sqrt{7}}*\frac{3-\sqrt{7}}{3-\sqrt{7}}\] \[=\frac{24-8\sqrt{7}}{2}\] factor out a 2 on top which cancels the 2 on bottom leaving \[= 12-4\sqrt{7}\]

  4. anonymous
    • 5 years ago
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    wonderful! how did you come up with the 8, though? is it that you must include the same number you multiply with in the top equation?

  5. anonymous
    • 5 years ago
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    and how in the heck did you get 2?

  6. anonymous
    • 5 years ago
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    oh, never mind. thank you!

  7. dumbcow
    • 5 years ago
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    by distributing on top, FOIL on bottom your welcome :)

  8. anonymous
    • 5 years ago
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    quick question- for these types of problems, will the denominator always be 2?

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spraguer (Moderator)
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