Question

Which of the following sum in simplest form (radicals)

Answer 1

9√2

Option C is the correct option.

Solution,

`√(8) + 3 √(2) + √(32) \\ = √(2 * 2 * 2) + 3 √(2) + √(2 * 2 * 2 * 2 * 2) \\ = 2 √(2) + 3 √(2) + 2 * 2 √(2) \\ = 2 √(2) + 3 √(2) + 4 √(2) \\ =( 2 + 3 + 4 )√(2 ) \\ = 9 √(2)`

Hope this helps...

Good luck on your assignment..

Answer 2

9√2

Explanation:

Easiest and fastest way is to plug it into a calc and calculate. If not, you will have to simplify the expressions to have a common root in order to add.