Simplify Square Root Variables

Mathematics

1 answer:

Assoli18 [71]1 year ago

6 0

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.

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

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