Question

Me ayudarian a con estso ejercisios de racionalizacion Por favor

Answer 1

2/√5 = (2√5)/5

3x/∛(x²) = 3∛(x³)/∛(x²) =

3∛(x³/x²) = 3∛x

2/∜(2xy) = 2∜((2xy)³)/(2xy) =

∜(8x³y³)/xy

3a²/∛(9a⁴b) = 3a²/(a∛(9ab)) =

3a/∛(9ab) = 3a∛((9ab)²)/(9ab) =

∛((3²ab)²)/(3b) = 3∛(3a²b²)/(3b) =

∛(3a²b²)/b

∜(16ab³/(25a²b⁵) = ∜(2⁴/(25ab²)) =

2/∜(25ab²) = 2∜((25ab²)³)/(25ab²) =

2∜(5⁶a³b⁶)/(5²ab²) =

2•5b∜(5²a³b²)/(5²ab²) =

2√(5b)•∜(a³)/(5ab)