Leahc246
  • Leahc246
Can't seem to remember how to begin this one! The book asks me to simplify: √(5) ÷ 3 - √(2) Thank you so much!
Mathematics
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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Blondisaurus
  • Blondisaurus
Are there answer choices?
Leahc246
  • Leahc246
There are!: (a) √(10) ÷ 3 √(2) - 2 (b) √(5) ÷ 3 √(5) - 10 (c) 3 √(5) - 10 ÷ 7 (d) 3 √(5) + √(10) ÷ 7
Leahc246
  • Leahc246
@Blondisaurus

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More answers

anonymous
  • anonymous
|dw:1434073784909:dw|
Leahc246
  • Leahc246
The second one!
anonymous
  • anonymous
ok so you need to multiply the numerator and denominator by the conjugate of 3-√2. Any idea as to what that is?
Leahc246
  • Leahc246
Would that be |dw:1434074159518:dw|
anonymous
  • anonymous
yes
Leahc246
  • Leahc246
Okay perfect
anonymous
  • anonymous
|dw:1434074241396:dw|
Leahc246
  • Leahc246
Okay, so from what I'm seeing, 7 as the denominator wouldn't make much sense so c and d are out correct?
anonymous
  • anonymous
not necessarily. Did you FOIL the denominator?
Leahc246
  • Leahc246
|dw:1434074631755:dw|
Leahc246
  • Leahc246
Lost it at the sqrt of 2 x sqrt of 2 for some reason!
Leahc246
  • Leahc246
The \[3\sqrt{2}\] should cancel out
Leahc246
  • Leahc246
due to the positive and negative
anonymous
  • anonymous
|dw:1434074875366:dw|
anonymous
  • anonymous
yes they do cancel out, and that should be 2, sorry
anonymous
  • anonymous
|dw:1434074954769:dw|
anonymous
  • anonymous
So for the denominator you're left with 9 - 2 = 7
anonymous
  • anonymous
|dw:1434075009742:dw|
Leahc246
  • Leahc246
Oh wow! Math strikes again lol this is what I get for staying up cramming! Thank you for that!
anonymous
  • anonymous
you're welcome
Leahc246
  • Leahc246
So the answer is d!
anonymous
  • anonymous
yep!
Leahc246
  • Leahc246
Thank you so much for all of your help! SO very grateful right now!
anonymous
  • anonymous
no problem. you're welcome

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