To simplify the expression √12 - 2√75 + √48, we can simplify each square root individually and then combine like terms.

√12 can be simplified by factoring 12 into its prime factors: 12 = 2 * 2 * 3. Taking the square root of each factor, we get √12 = √(2 * 2 * 3) = 2√3.

√75 can be simplified by factoring 75 into its prime factors: 75 = 3 * 5 * 5. Taking the square root of each factor, we get √75 = √(3 * 5 * 5) = 5√3.

√48 can be simplified by factoring 48 into its prime factors: 48 = 2 * 2 * 2 * 2 * 3. Taking the square root of each factor, we get √48 = √(2 * 2 * 2 * 2 * 3) = 4√3.

Now we can substitute these simplified square roots back into the original expression:

2√3 - 2(5√3) + 4√3

Simplifying further, we get:

2√3 - 10√3 + 4√3

Combining like terms, we get:

-4√3