Mathematics
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OpenStudy (just_one_last_goodbye):
Hey guys need some help on this problem. Thanks ^_^
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OpenStudy (just_one_last_goodbye):
Simplify \[\sqrt{5} / \sqrt[3]{5}\]
OpenStudy (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.
OpenStudy (welshfella):
convert the radicals to exponents
eg sqrt 5 = 5^1/2
OpenStudy (just_one_last_goodbye):
Ok so thats the exponent right?
OpenStudy (welshfella):
1/2 is the exponent
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OpenStudy (just_one_last_goodbye):
Ok I see so whats next?
OpenStudy (welshfella):
can you convert
|dw:1433182978890:dw|
OpenStudy (welshfella):
to exponent form ?
OpenStudy (just_one_last_goodbye):
give me a sec
OpenStudy (just_one_last_goodbye):
Im sorry im pretty bad at this
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OpenStudy (welshfella):
the exponent will be a fraction
OpenStudy (welshfella):
square root goes to 1/2
cube root goes to 1/3
so its 5 ^ 1/3
OpenStudy (welshfella):
4th root = 1/4 etc
OpenStudy (just_one_last_goodbye):
I see
OpenStudy (welshfella):
so we have 5^1/2 / 5^1/3
do you know how the terms with exponents/
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OpenStudy (welshfella):
* how to divide terms containing exponents
OpenStudy (just_one_last_goodbye):
You would subtract the exponents right?
OpenStudy (welshfella):
right
OpenStudy (just_one_last_goodbye):
so... 1/3 - 1/2
OpenStudy (welshfella):
no its 1/2 - 1/3
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OpenStudy (just_one_last_goodbye):
which gets us 1/6 correct?
OpenStudy (welshfella):
right so our answer is 5^ 1/6 or if you want it as a radical its
|dw:1433183702327:dw|