Question

Simplify 6sqrt20 + 8sqrt5 - 5sqrt45

Answer 1

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