just_one_last_goodbye
  • just_one_last_goodbye
Hey guys need some help on this problem. Thanks ^_^
Mathematics
chestercat
  • chestercat
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just_one_last_goodbye
  • just_one_last_goodbye
Simplify \[\sqrt{5} / \sqrt[3]{5}\]
just_one_last_goodbye
  • just_one_last_goodbye
Note Think it's a fraction or a division but they are suppose to be on top of eachother like a fraction.
welshfella
  • welshfella
convert the radicals to exponents eg sqrt 5 = 5^1/2

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just_one_last_goodbye
  • just_one_last_goodbye
Ok so thats the exponent right?
welshfella
  • welshfella
1/2 is the exponent
just_one_last_goodbye
  • just_one_last_goodbye
Ok I see so whats next?
welshfella
  • welshfella
can you convert |dw:1433182978890:dw|
welshfella
  • welshfella
to exponent form ?
just_one_last_goodbye
  • just_one_last_goodbye
give me a sec
just_one_last_goodbye
  • just_one_last_goodbye
Im sorry im pretty bad at this
welshfella
  • welshfella
the exponent will be a fraction
welshfella
  • welshfella
square root goes to 1/2 cube root goes to 1/3 so its 5 ^ 1/3
welshfella
  • welshfella
4th root = 1/4 etc
just_one_last_goodbye
  • just_one_last_goodbye
I see
welshfella
  • welshfella
so we have 5^1/2 / 5^1/3 do you know how the terms with exponents/
welshfella
  • welshfella
* how to divide terms containing exponents
just_one_last_goodbye
  • just_one_last_goodbye
You would subtract the exponents right?
welshfella
  • welshfella
right
just_one_last_goodbye
  • just_one_last_goodbye
so... 1/3 - 1/2
welshfella
  • welshfella
no its 1/2 - 1/3
just_one_last_goodbye
  • just_one_last_goodbye
which gets us 1/6 correct?
welshfella
  • welshfella
right so our answer is 5^ 1/6 or if you want it as a radical its |dw:1433183702327:dw|
just_one_last_goodbye
  • just_one_last_goodbye
Thank you so much ^-^
welshfella
  • welshfella
yw
just_one_last_goodbye
  • just_one_last_goodbye
Can I ask another question?
welshfella
  • welshfella
with fraction exponents the top of fraction is the power and bottom is the root |dw:1433183789032:dw|
just_one_last_goodbye
  • just_one_last_goodbye
@welshfella can you check my answer?
just_one_last_goodbye
  • just_one_last_goodbye
\[\frac{ 3\sqrt{5} \sqrt{5}}{ 3\sqrt{5^5} }\]
just_one_last_goodbye
  • just_one_last_goodbye
I have to Evaluate that
just_one_last_goodbye
  • just_one_last_goodbye
and I got \[5\frac{ 3 }{ 2 }\]
welshfella
  • welshfella
|dw:1433184666878:dw|

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