aescibek100
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  • 19-02-2022
  • Mathematics
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Simplify Square Root Variables

Simplify Square Root Variables class=

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sqdancefan
sqdancefan sqdancefan
  • 19-02-2022

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.

  [tex]\sqrt{30b^5}=\sqrt{b^4\cdot30b}=\boxed{b^2\sqrt{30b}}[/tex]

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