Math, asked by josphinewamuturi, 10 months ago

prove√2+√3 is an irrational number

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Answered by surendranamo
1

Answer:

here's your answer dude

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Answered by saikharpandey3127
1

Let √2+√3 be rational no.

p/q = √2+√3

p^2/q^2= 2+3+2√6

p^2/q^2=5+2√6

(p^2/q^2-5)/2 =√6

Since p , q ,2 and 5 are integers, we get (p^2q^2-5)/2 rational no and so √6

But √6 is irrational no.

this contradict our supposition

therefore√2+√3 is irrational no

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