Question

Simplify Square Root Variables

Answer 1

b²√(30b)

Explanation:

The number 30 has factors 2, 3, 5, so there are no squares.

The square root of the 5th power of b is b^(5/2) = (b^2)(b^(1/2)). That is, the square of b^2 can be removed.

`√(30b^5)=√(b^4\cdot30b)=\boxed{b^2√(30b)}`