Question

show that √2+√3 irrational​

Answer 1

let $\sqrt{2} + \sqrt{3 }$ be rational

then root(2)  and root(3) are rational

but

this condradicts the fact that both root(2) and root (3)  are irrational

and

irrational + irrational = irrational

since root(2) and root (3) are irrational

hence root(2) + root(3) can be called irrational

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Answer 2

Answer:

√2 and √3 are irrational numbers.

The sum of two irrational numbers may be rational or irrational, but √2 + √3 cannot be simplified and a rational number is a number which can be represented in the form p/q where p and q are integers and are not equal to 0, here √2 + √3 can be represented as √2 +√3/1 and 1 is an integer but (√2+√3) is not an integer.

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