root 3 - 5 rational or irrational number
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irrational number is your answer friend
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Answer:
let say √3 and √5 be a rational no.
then it can be written as
√3+√5=a/b where b is not equal to 0
√8=a/b
√8b=a ,squaring both side
8b²=a² eq-1
a² is divided by 8 , so a is also divided by 8
and 8 is common factor of a
let a=8c , putting in eq-1
8b²=64c²
b²=8c²
so b² divided by 8 ,b is divided by 8
then it means 8 is common factor of a&b
but it is not possible in case of rational no. so hence our assumption is wrong and √3&√5 is irrational n
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