Question

Which choice is equivalent to the product below?

√2•√3•√8
A. 4√12
B. 8√12
C. 16√3
D. 4√3

Answer 1

Answer choice (D) 4*sqrt(3)

Explanation:

sqrt(2)*sqrt(3)*sqrt(8) is just sqrt(2*3*8) which gives us sqrt(48). Then we simply the radicals which gets us sqrt(16*3). As most people know, 16 is the square of 4. Because there are 2 '4's, the '4' will be moved outside the square and it will become 4*sqrt(3). This gives us our final answer of (D) 4*sqrt(3)