Prove that root 3 is irrational and hence prove that root 3+ root 5 is irrational

Question

Genesis · 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.

Reply

Samantha · Answer

Answer:   Let √3+√5 be a rational number. A rational number can be written in the form of p/q where p,q are integers. ... But this contradicts the fact that √5 is an irrational number. So,our supposition is false.

Mia

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