Answer :
Answer:
To simplify the given expression by combining similar surds:
(5/√3) + (2/√27) + (3/√3)
First, let's express each fraction with a common denominator.
Since √27 = √(9 × 3) = 3√3, we rewrite the second term:
(5/√3) + (2/3√3) + (3/√3)
Now, all terms have the same surd. We can add them together:
= (5 + 2 + 9)/√3
= 16/√3
Finally, rationalize the denominator by multiplying both the numerator and denominator by √3:
= (16√3)/3
So, the simplified expression is (16√3)/3.