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Math Help - roots

  1. #1
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    roots

    How is the following possible.
    I realise I may be being very thick about this but I cant see it

    4/√2 = 2x2/√2 = 2x√2 x √2/√2 = 2√2

    What am I missing
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  2. #2
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    e^(i*pi)'s Avatar
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    Re: roots

    Quote Originally Posted by planetdomi View Post
    How is the following possible.
    I realise I may be being very thick about this but I cant see it

    4/√2 = 2x2/√2 = 2x√2 x √2/√2 = 2√2

    What am I missing
    You're multiplying your equation by \dfrac{\sqrt2}{\sqrt2} = 1 so nothing is changing
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  3. #3
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    skeeter's Avatar
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    Re: roots

    Quote Originally Posted by planetdomi View Post
    How is the following possible.
    I realise I may be being very thick about this but I cant see it

    4/√2 = 2x2/√2 = 2x√2 x √2/√2 = 2√2

    What am I missing
    look at it from this point of view ...

    \frac{4}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{4 \cdot \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}} = \frac{4\sqrt{2}}{2} = \frac{2 \cdot 2\sqrt{2}}{2} = 2\sqrt{2}
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  4. #4
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    Re: roots

    Thankyou so much
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