Question

What is the simplified form of the following expression? 5√8-√18-2√2

A. 2√2
B. 5√2
C. 9√2
D. 15√2

Answer 1

Option (B) is correct.

To prove

As given the epression in the question is given by

`= 5√(8) - √(18) - 2 √(2)`

Now simplify the above

Terms are written as

`√(8) = √(2* 2* 2) = 2 √(2)`

`√(18) = √(3* 3* 2) = 3 √(2)`

Put in the above expression.

`= 5* 2 √(2) -3 √(2) - 2 √(2)`

`= 10 √(2) -5 √(2)`

`=5 √(2)`

`Therefore\ the\ expression\ 5√(8) - √(18) - 2 √(2)\ is\ equivalent\ to\ 5 √(2) .`