## lynjunlew Group Title how do you simplify the 3rd square root of 27squared? one year ago one year ago

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1. samnatha

does it look like this $\sqrt[3]{27^{2}}$

2. captaincook

well a cubed root is equal to an exponent of (1/3) and since its squared it will be 27^(2/3)

3. captaincook

|dw:1354817051724:dw|

4. lynjunlew

captaincook maybe great, but I think there is more to be done ;) $\sqrt[3]{27^2}=(\sqrt[3]{27})^2=(\sqrt[3]{3^3})^2=3^2=9$This is what I would call simplifying. Writing it as 27^(2/3) just changes notation...