Question

Rationalize the denominator and simplify:

(2√5 + 5√3)/(√3-5√2)
=(2√5 + 5√3)/(√3-5√2) x (√3+5√2)/(√3+5√2)
=(2√5 + 5√3)(√3+5√2)/(3-50)
=(2√5 + 5√3)(√3+5√2)/-47

what now?

Answer 1

divide it

Answer 2

...?

Answer 3

multiply numerator and denominator by the conjugate of the denominator,
in this case its (√3+5√2)

Answer 4

on your third step =(2√5 + 5√3)(√3+5√2)/-47
multiply next the numerator here

Answer 5

can you follow next?