Question

Show that 7_ 5root is irrational, give that 5 root is irrational.

Answer 1

here is your answer

given that √5 is irrational.

so let us assume that 7√5 is rational

therefore 7√5=a/b

√5=a-7/7b

this contradiction has occurred due to our wrong assumption that 7√5 is rational . a rational number (√5) can't be equal to an irrational number(7√5).

hence 7√5 is irrational

hope this can help you