Question

given that root 3 is irrational.prove that 5 + 2 root 3 is an irrational number

Answer 1

Hope it helps you....

Answer 2

❤√3
so ,assume that √3 is rational number.
a and b,wheir(b is not =0) =a/b
√3=a/b
a/√3b
so, a and b are integers and √3 is an rational number

so conclude √3 rational into irrational no.
√3 is IRRATIONAL NUMBER

❤5+2√3
so assume that 5+2√3 is an rational number
a and b,wheir(b is not =0)=a/b
so,
5+2√3=a/b
2√3=a/5b
a and b are integers and 5+2√3 is an rational number

so conclude rational into irratinal number

so,5+2√3 is IRRATIONAL NUMBER







.❤.HOPE this both sum will help u a lot.