Question

prove that root 3 + root 5 is an irrational
please answer this question quickly.
please answer those who know the answer ..... ​

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 + √2 = p / q

⇒ p / q - √3 = √5

⇒ ( p / q - √3 ) = ( √5 )

⇒ ( p / q - √3 ) ² = ( √5 ) ²

⇒ p ² / q ² - 2 √3 / q p + 3 = 5

⇒ p ² / q ² - 2 = 2 √3 q / p

⇒ p ² - 2q ² / q ² = 2p / q √3

⇒ p ² - 2q ² / 2pq ² = √3

⇒ √3

is a rational number.

Step-by-step explanation:

Please mark as brainliest answer and follow me please and thank me please Because I am a very good boy