Show that √7+√3 is a irrational number
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let √7+√3 be a rational number
let x be √7+√3
x^2= (√7+√3)^2
x^2=7+3+2√21
transportation 7+3 =10 and the conjucate 2 to the other side
x^2-10/2 =√21
root 21 is not a rational number
therefore root 7 +root 3 is an irrational number
let x be √7+√3
x^2= (√7+√3)^2
x^2=7+3+2√21
transportation 7+3 =10 and the conjucate 2 to the other side
x^2-10/2 =√21
root 21 is not a rational number
therefore root 7 +root 3 is an irrational number
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