Perform the vindicated operations and simplify

Question

5 square root 2 - 3 square root 32 - 2 square root of 50

Answer 1

Factor the radicands and then simplify.

 

5√2 - 3√32 - 2√50 = 5√2 - 3√(2⁴2) - 2√(5²2) = 5√2 - 3(2²)√2 - 2(5)√2 =  5√2 - 12√2 - 10√2

 

= (5 - 12 - 10)√2 = -17√2

 

I assume you meant "indicated."  There is nothing "vindicated" here.