Question

3. Let x be a rational number and y be an irrational number. Is x+y
necessarily an irrational number? Give an example in support of your
answer.
12010.14​

Answer 1

Step-by-step explanation:

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$\bf \huge \: Question \: \:$

Let x be a rational number and y be an irrational number. Is x+y

necessarily an irrational number?

______________________

$\bf \huge \: Given \: \:$

• x be a rational number

• y be an irrational number.

______________________

$\bf \huge \: To Find \: \:$

• x+y necessarily an irrational number ?

______________________

• If x is a rational number and y is an irrational number then sum of x+y is an irrational number.

______________________

• If x is a rational number and y is an irrational number then xy⇒xy can be rational or irrational number ,like 0 and √3

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Answer 2

Question:-

Let x be a rational number and y be an irrational number. Is x+y

necessarily an irrational number?

Given:-

1. x be a rational number.
2. y be an irrational number.

To Find:-

• x+y necessarily an irrational number ?

Solution:-

• If x is a rational number and y is an irrational number then sum of x+y is an irrational number.

• If x is a rational number and y is an irrational number then xy⇒xy can be rational or irrational number ,like 0 and √3