Rationalize the equation cubed root of 40/9

Question

Rationalize the denominator of the cubed root of 40/9

Answer 1

You present an expression, not an equation.

 

³√40 / ³√9

(³√40)(³√9²) / (³√9)(³√9²)

(³√((40)(81))) / 9

³√3240 / 9

2 ³√405 / 9

2 ³√(27)(15) / 9

2(3) ³√15 / 9

2 ³√15 / 3

Answer 2

9 = 3² So, if we multiply the numerator and denominator by the cube root of 3, the denominator becomes ³√(3) ³ , which then simplifies.    

 

³√40 / ³√9  =  ³ √120 / ³√27

 

                  = ³√120 / 3

 

                  = (³√8)(³√15)/3

 

                  = (2 ³√15)/3