How do you add #3""^3sqrt(2)+5""^3sqrt(16)#?

Answer 1

#3root(3)(2)+5root(3)(16)# needs to be simplified in order to add.In order to add radicals, index and radicand(inside the radical) need to be the same.

Here is how you add the expression: #3root(3)(2)+5root(3)(16)=# #3root(3)(2)+5root(3)(8*2)=# #3root(3)(2)+5(root(3)(8)*root(3)(2))=# #3root(3)(2)+5*2*root(3)(2)=# #3root(3)(2)+10root(3)(2)=# #13root(3)(2)#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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