Question

prove that 3 by 2 + root 3 is irrational​

Answer 1

Step-by-step explanation:

let us assume to the contrary that 3/2 + √3 is a rational number

then it's has a factor p,q and it's in the form of p/q

then,

3/2+√3 =p/q

√3 = p/q - 3/2

√3 = 2p-3q/21

we already ow √3 is an irrational number hence

we got irrational= rational number

hence our assumption is wrong

it's an irrational number

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