Math, asked by ummeyruman, 4 months ago

Rationalize the denominator 14÷5√3-√3​

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Answered by khansameer31423
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Answered by Anonymous
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 \longrightarrow \sf \frac{14}{5 \sqrt{3}  -  \sqrt{3}} \\  \\ \longrightarrow \sf\frac{14}{5 \sqrt{3}  -  \sqrt{3}} \times  \frac{5 \sqrt{3}  +  \sqrt{3} }{5 \sqrt{3} +  \sqrt{3} } \\  \\\longrightarrow \sf  \frac{70 \sqrt{3} + 14 \sqrt{3} }{ {(5 \sqrt{3} )}^{2} -  {( \sqrt{3}) }^{2} } \\  \\  \longrightarrow \sf\frac{70 \sqrt{3} + 14 \sqrt{3}  }{75 - 9} \\  \\\longrightarrow \sf  \dfrac{14(5 \sqrt{3} + \sqrt{3})}{66} \\  \\\longrightarrow \sf  \frac{7(5 \sqrt{3} +  \sqrt{3} ) }{33}

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