To simplify this expression, we first need to simplify the terms inside the parentheses:
√75 = √(253) = 5√3√48 = √(163) = 4√3
Now we substitute these simplified values back into the expression:
(5√3 - 4√3) √12= √3 √12= √(3*12)= √36= 6
Therefore, the simplified expression is 6.
To simplify this expression, we first need to simplify the terms inside the parentheses:
√75 = √(253) = 5√3
√48 = √(163) = 4√3
Now we substitute these simplified values back into the expression:
(5√3 - 4√3) √12
= √3 √12
= √(3*12)
= √36
= 6
Therefore, the simplified expression is 6.