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Math Help - Simplifying expressions

  1. #1
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    Simplifying expressions

    If someone could tell me how to express the square root of something, I'll quickly put the problems up here. Thanks.
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    Quote Originally Posted by Nash55 View Post
    If someone could tell me how to express the square root of something, I'll quickly put the problems up here. Thanks.
    Well, I would express the square root of 23 as \sqrt{23}. If it's the coding you are looking for, just click on the nice-looking expression. Otherwise you can write "sqrt(23)" and we'll all know what it means.

    -Dan
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  3. #3
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    Thanks

    If you could help simplifying these expressions, and showing the work, that'd be great. Thanks.

    ^3 sqrt(54x^4)



    sqrt(32x^5)



    sqrt(5x) multiplied by ^3 sqrt(5x)



    5 sqrt (3) + 2 sqrt(12) - 2 sqrt(27)



    ( 4 sqrt (2) – sqrt (3) ) ( 5 sqrt (2) + 2 sqrt (3))
    Last edited by Nash55; December 3rd 2007 at 10:49 AM. Reason: I hope this is correct.
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Nash55 View Post
    ^3 sqrt(54x^4)
    \sqrt[3]{54x^4} = \sqrt[3]{27x^3 \cdot 2x}

    = \sqrt[3]{27x^3} \cdot \sqrt[3]{2x}

    = \sqrt[3]{3^3x^3} \cdot \sqrt[3]{2x}

    = 3x \sqrt[3]{2x}

    Try grouping the radicand like I did above.

    -Dan
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  5. #5
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    Quote Originally Posted by Nash55 View Post
    If you could help simplifying these expressions, and showing the work, that'd be great. Thanks.

    ^3 sqrt(54x^4)

    sqrt(32x^5)

    sqrt(5x) multiplied by ^3 sqrt(5x)

    5 sqrt (3) + 2 sqrt(12) - 2 sqrt(27)

    ( 4 sqrt (2) – sqrt (3) ) ( 5 sqrt (2) + 2 sqrt (3))
    Hello,

    I'm just guessing. I assume that you mean:

    \sqrt[3]{54x^4}=\sqrt[3]{27x^3 \cdot 2x}=3x \cdot \sqrt[3]{2x}

    \sqrt{32x^5}=\sqrt{16x^4 \cdot 2x}= 4x^2 \cdot \sqrt{2x}

    With the next problem it's easiest if you use powers:

    \sqrt{5x} \cdot \sqrt[3]{5x}=(5x)^{\frac12} \cdot (5x)^{\frac13}=(5x)^{\frac12 + \frac13}=(5x)^{\frac56}

    I'll leave the rest for you.
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  6. #6
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    Is this alright for

    5 sqrt (3) + 2 sqrt (12) - 2 sqrt (27)=

    3 sqrt (3)
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  7. #7
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Nash55 View Post
    Is this alright for

    5 sqrt (3) + 2 sqrt (12) - 2 sqrt (27)=

    3 sqrt (3)
    The answer is "yes."

    (Hmmmm... As you asked me this in a PM, this could be considered a double post...)

    -Dan
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