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Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

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Solution

If x is an irrational number then x^2 can be rational or irrational number.

Let the irrational number be x = √3.

Then x^2 = (√3)^2 = 3 which is a rational number.

If x = √3 - 1 then

x2 = (√3 - 1)^2 = (√3)^2 + (1)^2 - 2√3 = 4 - 2√3 which is again an irrational number.

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Sir/ma'am Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

If x is an irrational number then x^2 can be rational or irrational number. Let the irrational number be x = √3. Then x^2 = (√3)^2 = 3 which is a rational number. If x = √3 - 1 then x2 = (√3 - 1)^2 = (√3)^2 + (1)^2 - 2√3 = 4 - 2√3 which is again an irrational number.

Sir/ma'am

Que.If x is an irrational number, what can you sab about x^2? Support your answer with examples..

If x is an irrational number then x^2 can be rational or irrational number.

Let the irrational number be x = √3.

Then x^2 = (√3)^2 = 3 which is a rational number.

If x = √3 - 1 then

x2 = (√3 - 1)^2 = (√3)^2 + (1)^2 - 2√3 = 4 - 2√3 which is again an irrational number.