Algebra-1

Question Analysis
This question tests the student's ability to simplify expressions involving square roots and determine if the result is rational or irrational. It requires understanding the properties of irrational numbers and how they behave under addition.

Key Concept Explanation
Irrational numbers cannot be expressed as a ratio of two integers and have non-terminating, non-repeating decimal expansions. Operations with irrational numbers, such as addition, generally result in irrational numbers unless the sum simplifies to a rational number.

Step-by-step Solution
1. Simplify each square root: ,

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