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Thread: Intermediate Algebra

  1. July 14th 2008, 02:08 PM #1
    rowdy3
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    Intermediate Algebra

    Simplify the following radicals. Assume that the variables can represent a positive number.
    square root of (4x)^2
    Would that be 2x?

    cubed square root of -125d^3
    Would that be 5d^3

    Find the domain of the given function.
    f(x)=square root of 3x-8
    I added 8. 3x is greater than 8/3.
    My answer is (-infinity, 8/3]

    Simplify
    square root of 32x^5y^9
    This is my answer. 2x^4y^3 square root 2xy^3
    Thanks.
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  2. July 14th 2008, 02:43 PM #2
    masters
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    Quote Originally Posted by rowdy3 View Post
    Simplify the following radicals. Assume that the variables can represent a positive number.
    square root of (4x)^2
    Would that be 2x?

    No because \sqrt{(4x)^2}=\sqrt{16x^2}=4x

    cubed square root of -125d^3
    Would that be 5d^3

    No, because \sqrt[3]{-125d^3}=-5d

    Find the domain of the given function.
    f(x)=square root of 3x-8
    I added 8. 3x is greater than 8/3.
    My answer is (-infinity, 8/3]

    No, because 3x-8\geq0\Longrightarrow x\geq\frac{8}{3}
    D=\left[\frac{8}{3},+\infty\right)
    Simplify
    square root of 32x^5y^9
    This is my answer. 2x^4y^3 square root 2xy^3

    No, because \sqrt{32 x^5 y^9}=\sqrt{16 \cdot 2 \cdot x^4 \cdot x \cdot y^8 \cdot y}=4x^2 y^4 \sqrt{2xy}

    Thanks.

    Some solutions in Red.
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