Question

prove that 3 + 2 root 5 is irrational

Answer 1

hope it will help u☺

Answer 2

first of all to prove root 5 consider it as a rational no. the take a and b coprime numbers such that

a2÷b2=root 5 sq.

a2=5b2

therefore, 5 is divisible by a2

5 is also divisible by a

further take c another coprime such that ..

root5b2=5c2

5b2=25c2

b2=5c2

hence 5 is divisible by b2

5 is divisible by b..

proved 5 is irrational so our assumption was wrong.. 3+2root 5=a2÷b2 here 3+2 is rational no. and root is irrational so 3+2root5 is irrational...