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@JoannaBlackwelder
@aum
Exactly the same procedure as the past few problems. Multiply top and bottom by \(4 + \sqrt{6x}\) and simplify. When multiplying the denominator make use of the identity: \((a+b)(a-b)= a^2-b^2\).
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Try again but show the work so it will be easier to correct the mistake.
k
\[4/4-\sqrt{6x}*4/4=\sqrt{6x}\] RIGHT?
oops
i mean \[4/4-\sqrt{6x}*4/4+\sqrt{6x}\]
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\[ \frac{4}{4-\sqrt{6x}} = \frac{4}{4-\sqrt{6x}} * \frac{4+\sqrt{6x}}{4+\sqrt{6x}} = \frac{4(4+\sqrt{6x})}{4^2-\sqrt{6x}^2} = \frac{4(4+\sqrt{6x})}{16-6x} = \\ \frac{4(4+\sqrt{6x})}{2(8-3x)} = \frac{2(4+\sqrt{6x})}{8-3x} = \frac{8+2\sqrt{6x}}{8-3x} \]
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