The number x is irrational. Which statement about x + sqrt 50 is true? Choices: (A)x + sqrt 50 is rational. (B)x + sqrt 50 is irrational. (C)x + sqrt 50 can be rational or irrational, depending on the value of x.

Question

The number x is irrational. Which statement about x + sqrt 50 is true?   Choices: (A)x + sqrt 50 is rational. (B)x + sqrt 50 is irrational. (C)x + sqrt 50 can be rational or irrational, depending on the value of x.

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Identify type of number: Identify whether sqrt(50) is a rational or irrational number. sqrt(50) can be simplified to sqrt(25*2) which is equal to 5*sqrt(2). Since sqrt(2) is an irrational number, 5*sqrt(2) is also an irrational number.Simplify sqrt(50): Consider the sum of two irrational numbers, x and 5*sqrt(2). The sum of two irrational numbers can be either rational or irrational. It is not guaranteed to be one or the other without additional information about the specific numbers involved.Consider sum of irrationals: Analyze the given choices in the context of the sum of x and 5*sqrt(2). Choice (A) states that x + sqrt(50) is rational. This is not necessarily true without knowing the specific value of x. Choice (B) states that x + sqrt(50) is irrational. This is not necessarily true either, as there could be a specific value of x that makes the sum rational. Choice (C) states that x + sqrt(50) can be rational or irrational, depending on the value of x. This is the correct choice because if x were chosen to be the negative of 5*sqrt(2), the sum would be 0, which is rational. If x is any other irrational number, the sum would be irrational.

The number $x$ is irrational. Which statement about $x + \sqrt{50}$ is true? $\newline$ Choices: $\newline$ (A) $x + \sqrt{50}$ is rational. $\newline$ (B) $x + \sqrt{50}$ is irrational. $\newline$ (C) $x + \sqrt{50}$ can be rational or irrational, depending on the value of $x$ .

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The number xxx is irrational. Which statement about x+50x + \sqrt{50}x+50​ is true?\newlineChoices:\newline(A)x+50x + \sqrt{50}x+50​ is rational.\newline(B)x+50x + \sqrt{50}x+50​ is irrational.\newline(C)x+50x + \sqrt{50}x+50​ can be rational or irrational, depending on the value of xxx.

The number $x$ is irrational. Which statement about $x + \sqrt{50}$ is true? $\newline$ Choices: $\newline$ (A) $x + \sqrt{50}$ is rational. $\newline$ (B) $x + \sqrt{50}$ is irrational. $\newline$ (C) $x + \sqrt{50}$ can be rational or irrational, depending on the value of $x$ .