# Question Solved1 AnswerQuestion 4. Prove that for any $$x, y \geq 0$$, we have $$|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|}$$. (Hint. Consider the cases $$x \leq y$$ and $$y \leq x$$ separately. )

Transcribed Image Text: Question 4. Prove that for any $$x, y \geq 0$$, we have $$|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|}$$. (Hint. Consider the cases $$x \leq y$$ and $$y \leq x$$ separately. )
Transcribed Image Text: Question 4. Prove that for any $$x, y \geq 0$$, we have $$|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|}$$. (Hint. Consider the cases $$x \leq y$$ and $$y \leq x$$ separately. )