Add 22−−√3 + 322−−√ + 22−−√ .

Answer 1

The expression 22−−√3 + 322−−√ + 22−−√ can be simplified as follows:

22−−√3 = 4√3
322−−√ = 9√2
22−−√ = 2√2

Therefore, 22−−√3 + 322−−√ + 22−−√ = 4√3 + 9√2 + 2√2.

Combining like terms, we get:

4√3 + 9√2 + 2√2 = 4√3 + (9+2)√2 = 4√3 + 11√2.

Hence, the simplified expression is 4√3 + 11√2.