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Math Help - Simplify the radicl

  1. #1
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    Simplify the radicl

    Please help me with this on how to do it. New to the forum. First post. Thanks!

    √z^5
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  2. #2
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    Hello, kingchris626!

    \text{Simplify: }\;\sqrt{z^5}


    \sqrt{z^5} \;=\;\sqrt{z^4\cdot z} \;=\;\sqrt{z^4}\cdot\sqrt{z} \;=\;z^2\sqrt{z}
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  3. #3
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    Thank you!
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  4. #4
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    Another way to do this is to write the square root as a "1/2" power:
    \sqrt{z^5}= (z^5)^{1/2}= z^{5/2}. Of course, \frac{5}{2}= 2+ \frac{1}{2} so \sqrt{z^5}= z^{5/2}= z^2z^{1/2}= z^2\sqrt{z}
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