Question

How to solve mix surds 8√2+2√8​

Answer 1

`{ \tt{8 √(2) + 2 √(8) }}`

separate the biggest root ( √8 ):

`{ \tt{ = 8 √(2) + 2 √(4 * 2) }} \\ = { \tt{ 8 √(2) + (2 * 2) √(2) }} \\ = { \tt{8 √(2) + 4 √(2) }}`

factorise √2 out:

`= { \tt{(8 + 4) √(2) }} \\ \\ = { \bf{12 √(2) }}`