What is ∜25 - √45 + √80show step by step solution to explain the answer

Expert Answers
thilina-g eNotes educator| Certified Educator

`root(4)25 -sqrt(45)+sqrt(80)`

This can be written as,

`= root(4)(5^2) -sqrt(3^2 xx 5)+sqrt(4^2 xx 5)`

`= sqrt(5) -3sqrt(5)+4sqrt(5)`

`= 2sqrt(5)`

 

Therefore,

`root(4)25 -sqrt(45)+sqrt(80) = 2sqrt(5)`