Question

Simplify the following problem ​

Answer 1

Answer:

❤️ Hey mate ❤️

Check attachment......

Answer 2

$\dfrac{11}{5 \: - \: \sqrt{3} } \: + \: \dfrac{11}{5 \: + \: \sqrt{3} }$

____________ [ GIVEN ]

• We have to simply the above problem.

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=> $\dfrac{11}{5 \: - \: \sqrt{3} } \: + \: \dfrac{11}{5 \: + \: \sqrt{3} }$

Take LCM

=> $\dfrac{11(5 \: + \: \sqrt{3}) \: + \: 11( 5 \: - \: \sqrt{3 }) }{(5 \: - \: \sqrt{3} )(5 \: + \: \sqrt{3}) }$

=> $\dfrac{55\: + \: 11\sqrt{3} \: + \: 55 \: - \: 11\sqrt{3 } }{(5 \: - \: \sqrt{3} )(5 \: + \: \sqrt{3}) }$

(a + b) (a - b) = a² - b²

=> $\dfrac{55\: + \: 55 }{(5 )^{2} \: - \: (\sqrt{3})^{2} }$

=> $\dfrac{110 }{25 \: - \: 3 }$

=> $\dfrac{110 }{22 }$

=> $5$

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$\huge{\bold{x\:=\:5}}$

____________ [ ANSWER ]

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