I need someone to check my answer for this Algebra question, anyone up to it

What is the exact value of the expression 11√8+ 6√12 − 5√2? Show your work

YEP YOU ARE RIGHT
11√8 = 11√4*2 = 22√2
6√12= 6√4*3= 12√3
22√2 + 12√3 - 5√2 =
17√2 + 12 √3
im not sure if you want it simplified but this is the answer simplified: 17√2 + 12 √3
then i plugged it into the calculator to get 44.83

√8 = √4 * √2 = 2√2
√12 = √4 * √3 = 2√3

So the expression can be rewritten as:
11(2√2) + 6(2√3) - 5√2
= 22√2 + 12√3 - 5√2
= 17√2 + 12√3

Yep – looks good to me :)

––––––––––––––––

11√8+ 6√12 − 5√2
11√4*2 + 6√4*3 -5√2
11*2√2 + 6*2√3 - 5√2
22√2 + 12√3 -5√2
22√2 -5√2 +12√3
17√2 + 12√3 <------------answer

11rt8+6rt12-5rt2
= 11rt(4*2) + 6rt(4*3) - 5rt2
= 11*2rt2 + 6*2rt3 - 5rt2
= 22rt2 + 12rt3 - 5rt2
= 17rt2 + 12rt3

yes it's correct

11√8+ 6√12 − 5√2
11√4*2+ 6√4*3 − 5√2
22√2+ 12√3 − 5√2
17√2+ 12√3

You didn't give an answer to check.