Question

Simplify Square Root Variables

Answer 1

Answer:

  b²√(30b)

Step-by-step 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.

  $\sqrt{30b^5}=\sqrt{b^4\cdot30b}=\boxed{b^2\sqrt{30b}}$