Question

prove that √5 is irrationaland hence prove that √5+7 is also irrational​

Answer 1

Answer:

Since a and b are integers, so (7b -a)/b is an rational. We have the sum or difference of one rational and one irrational number is also an irrational number. Here 7-√5 have 7 is rational number and √5 is irrational number. Therefore 7-√5 is also irrational number.