Question

prove that 2 root 3 minus 3 is an irrational number ​

Answer 1

Answer:

let is assume that 2√3-3 be a rational number

then 2√3-3 = p/q { p & q are co prime integers and q not equal to 0}

2√3 = p/q +3

2√3 =( p +3q)/q

=> √3 = (p+3q)/2q

since , p & q are integers so ( p+ 3q ) / 2q is a rational number

also √3 will be rational number

but we know that root3 is irrational.

so, there is a contradiction

our assumption is wrong

hence 2 - √ 3 is irrational.

Answer 2

Answer:

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