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Add. Assume that all variables represent positive real numbers

Add assume that all variables represent positive real numbers 
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1 Answer

First we can simplify the expressions in the radicals to bring out terms.
The 27 in both radicals have a factor of 9, which is the square of 3. We can bring out this factor by multiplying the terms in front of the radicals by 3. The second term has a factor of y2 which can be pulled out by multiplying the term in front of the radical by y. This gives us
Now we can factor out the common term 9y√(3y) from both parts of the expression. This gives our answer
We can further simplify this by combining the y and √y in front of the brackets into a single term. y*y1/2=y2/2+1/2=y3/2
Thus, another form of the answer is