Question

rationalise the denominator of (5root3-4root2)/4root3+3root2​

Answer 1

Answer:

14/5 - 31√6/30

Step-by-step explanation:

=>(5√3 - 4√2) / ( 4√3 + 3√2 )

=>(5√3 - 4√2) (4√3 - 3√2) / (4√3 + 3√2) (4√3 - 3√2)

=>(60 - 15√6 - 16√6 + 24) / (48 - 12√6 + 12√6 - 18)

=>(84 - 31√6) / (30)

=>84/30 - 31√6/30

=> 14/5 - 31√6/30