We want to simplify a radical expression.
To do so we will assume that b≥0 otherwise the given expression would not be defined.
sqrt(a^4 b^7 c^8)
Let's recall the Multiplication Property of Square Roots.
sqrt(ab)=sqrt(a) * sqrt(b), for a≥ 0,b≥ 0
Let's use this property for our expression.
Now that we have simplified the factors as much as possible, we can use the Commutative Property of Multiplication to simplify even further.
a^2 * sqrt(b) * b^3 * c^4 ⇔ a^2b^3c^4sqrt(b)
