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Math Help - Surds

  1. #1
    Senior Member Mukilab's Avatar
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    Surds

    How does one get from




    to



    ???
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  2. #2
    Super Member

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    Hello, Mukilab!

    How does one get from . \frac{4\sqrt{3}}{6}\,\text{ to }\,\frac{2}{\sqrt{3}} ?
    Multiply by \frac{\sqrt{3}}{\sqrt{3}}

    . . \frac{4\sqrt{3}}{6}\cdot{\color{blue}\frac{\sqrt{3  }}{\sqrt{3}}} \;=\;\frac{4\cdot\sqrt{3}\cdot\sqrt{3}}{6\cdot\sqr  t{3}} \;=\; \frac{4\cdot3}{6\sqrt{3}} \;=\;\frac{12}{6\sqrt{3}} \;=\;\frac{2}{\sqrt{3}}

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