Question

Prove that √5+√3 is irrational.​

Answer 1

Answer:

Let as assume on contrary that 

√3 + √5 

is a rational number. 

Then there exists co - prime integers p and q such that  

⇒  √3 

is a rational number . 

But this contradicts the fact that 

√3  

is  irrational.

So, our assumption is wrong.

Hence,

√3  + √5 

is  irrational.

Step-by-step explanation:

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Answer 2

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