If root 5 is irrational prove that root5+3 is also irrational
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let root5+3 be rational
root5+3=a/b where a & b are coprime integers
with non zero b
root5= a/b-3
RHS is a rational no.
LHS is a rational no.
but root5 is irrational
this contradiction is a result of our wrong assumption
root5+3 is not rational
root5+3=a/b where a & b are coprime integers
with non zero b
root5= a/b-3
RHS is a rational no.
LHS is a rational no.
but root5 is irrational
this contradiction is a result of our wrong assumption
root5+3 is not rational
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