Question

Prove that (1/√2+√3) + (2/√5-√3)+( 1/√5-√2)=0

Answer 1

Answer:

Step-by-step explanation:

1/(sqr(2)+sqr(3))=sqrt(3)-sqrt(2)/1=sqrt(3)-sqrt(2)

2/(sqrt(5)-sqrt(3)=2*(sqrt(5)+sqrt(3))/2=sqrt(5)+sqrt(3)

1/(sqrt(5)-sqrt(2))=sqrt(5)+sqrt(2)/3

sqrt(3)-sqrt(2)+sqrt(5)+sqrt(3)+(sqrt(5)+sqrt(2)/3)

=3sqrt(3)-3sqrt(2)+3sqrt(5)+3sqrt(3)+sqrt(5)+sqrt(2)/3

=6sqrrt(3)-2sqrt(2)+4sqrt(5)/3

As per the auestion the LHS is not equal to zero