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Mathematics 10 Online
OpenStudy (just_one_last_goodbye):

Hey guys need some help on this problem. Thanks ^_^

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

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

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/

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

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|

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