Question

Simplify ±√225⁢𝑎^16⁢^36. Order the variables alphabetically.

Answer 1

Assuming the radicand is 225 a^16 b^36, we have
√(225 a^16 b^36) = 15 a^8 b^18,
so ±√(225 a^16 b^36) = ±15 a^8 b^18 (variables ordered: a, b).

(Equivalently, the principal root is 15|a^8 b^18| = 15 a^8 b^18 since a^8,b^18 ≥ 0.)