Answer:
20√5 - 10√10
Step-by-step explanation:
6√20 + 8√5 - 5√45
first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:
6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5
5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10
now:
12√5 + 8√5 - 10√10
then, add the coefficients of 12√5 and 8√5
20√5 - 10√10
the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer
