Prove: Sq Root of a Sum ≤ Sum of the Sq Roots

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The discussion centers on proving the inequality n√(x+y) ≤ n√x + n√y for non-negative real numbers x and y. Participants are encouraged to share their attempts and ideas for approaching the proof. The conversation highlights the need for a clear understanding of the properties of square roots and inequalities. Various methods and mathematical principles may be suggested to establish the validity of the statement. Engaging in this proof can enhance comprehension of inequalities in mathematics.
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Homework Statement


(x.y)ER+ that means x and y >=0

Homework Equations



Prove that n√(x+y)<=n√x + n√y

The Attempt at a Solution

 
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Hafsaton said:

Homework Statement


(x.y)ER+ that means x and y >=0

Homework Equations



Prove that n√(x+y)<=n√x + n√y

The Attempt at a Solution


You need to show your best attempt at this question. Any ideas?
 
Furthermore, choose a title that describes what the question is about.
 

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