Question

Simplify −√16⁢𝑐4⁢𝑑2. Order the variables alphabetically.

Answer 1

Start with √(16c^4d^2) = 4·c^2·|d| (since √(c^4)=c^2 and √(d^2)=|d|). With the leading negative sign the simplification is

-4c^2|d|.

(If d ≥ 0 this equals -4c^2d.)