Question

How do you add `2\sqrt { 18} + 11\sqrt { 2}`?

Answer 1

`2sqrt18+11sqrt2=17sqrt2`

Explanation:

We can rewrite `sqrt18` as follows:
`2sqrt18+11sqrt2=2sqrt(2*9)+11sqrt2=2sqrt2sqrt9+11sqrt2=`

`=6sqrt2+11sqrt2`

Now we can factor out `sqrt2`, giving us the answer:
`=sqrt2(6+11)=sqrt2*17=17sqrt2`