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Write as a single radical expression. radicand x   ^3 radicand x+4.

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rosey-girl | Student, Grade 12 | (Level 1) Valedictorian

Posted February 6, 2013 at 4:23 AM via web

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Write as a single radical expression.

radicand x   ^3 radicand x+4.

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jgeertz | College Teacher | (Level 1) Associate Educator

Posted February 6, 2013 at 4:57 AM (Answer #1)

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`sqrt(x^3)sqrt(x+4)`

Multiply the expressions under the radicand.

`sqrt((x^3)(x+4))`

Factor the radicand to find the perfect roots.

`sqrt((x)(x)(x)(x+4))`

Remove the perfect square roots from the radicand. Here remove the `x` because it is a perfect square.

 This leaves the solution which is:

`xsqrt(x(x+4))`

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