(a) 4(3+sqrt(2)) (d) 6(sqrt(1)-4)

<br />For the first part of the question, "4(3+√2)", the basic rule of distributive property is applied, where each term in the expression is multiplied separately by 4. Multiplying 4 by 3 results in 12 and 4 multiplied by the square root of 2 gives 4√2. Therefore, the answer is "12 + 4√2".<br /><br />For the second part of the question, "6(√11-4)", the same principle is applied as it was in the first part. Here the 6 is distributed over the two terms inside the parentheses by multiplying √11 by 6 giving 6√11 and 6 multiplied by 4 gives 24, hence, the answer to the question is "6√11 - 24".