Question

Simplify the radical

Answer 1

`9d^3`

Explanation:

`~~~√(81 d^6)\\\\=\left(81 d^6 \right)^(\tfrac 12)\\\\=\left(81\right)^(\tfrac 12) \cdot \left(d^6 \right)^(\tfrac 12)\\\\=\left(9^2 \right)^(\tfrac 12) \cdot d^(\tfrac 62)\\\\=9d^3`