1.

Let x and y be rational and irrational numbers, respectively. Is x + ynecessarily an irrational number? Give an example in support of youranswer

Answer»

Answer:

Yes.

Step-by-step explanation:

let X be 2 & Y be an irrational no. SAY, 3√2

now adding X and Y will give us 2+3√2

we're gonna add the like terms i.e 2 and 3 and √2 will be attached to the sum..

so our answer will be 5√2. which is an irrational no.

if you WANT proof then go to your calculator and compute the value of 5 with √2 that is MULTIPLY 5 and value of √2 you will get a non repeating and non terminationg decimal expansion which a irrational no. ALWAYS has..

Hope this will help you... :)



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