One way to approach these simplifications is to consider their factors
For example, in the first expression, √48 = √16•3 = 4√3. Likewise, √900 = √30•30 = 30 When you continue in this way, you will reach the answer which is √5/3
in the second expression √384 = √16•24 = 4√24; likewise, √288 = √36•8 = 6√8; When you continue, you will reach the answer of 2/√3
the third expression is the same as (√2÷5) times √2, which is 2/5