Interesting alternative method Let answer be x and square both sides x^2 = (4+sqrt(8))/(4-sqrt(8)) multiply top and bottom by (4+sqrt(8)) x^2 = ((4+sqrt(8))^2)/(16-8) x^2 = (16+8+8sqrt(8))/8 x^2 = 3+sqrt(8) x = sqrt(3+sqrt(8)) which surprisingly evaluates to the same result (1 + sqrt(2)) even though it looks nothing like it.
Interesting alternative method
Let answer be x and square both sides
x^2 = (4+sqrt(8))/(4-sqrt(8))
multiply top and bottom by (4+sqrt(8))
x^2 = ((4+sqrt(8))^2)/(16-8)
x^2 = (16+8+8sqrt(8))/8
x^2 = 3+sqrt(8)
x = sqrt(3+sqrt(8))
which surprisingly evaluates to the same result (1 + sqrt(2)) even though it looks nothing like it.
very very nice problem sir 🎉🎉🎉🎉🎉
A simple nice problem
😢Bade problem
😢Bade problem