Question

prove that root 3 +2 root 2 is irrational

Answer 1

Let √3-√2 be a rational number. A rational number can be written in the form of p/q. p,q are integers then (5q²-p²)/q² is a rational number. ... Therefore,√3-√2 is an irrational number.

Answer 2

Step-by-step explanation:

let √3+2√2 be rational number

so it can be written as a/b

√3+2√2=a/b

square in both sides

4√6+11=a²/b²

4√6=a²/b²-11

but , 4√6 is irrational

irrational ≠ rational

therefore our assumption is wrong

√3+2√2 is irrational

...

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