Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) – 4/(2sqrt(6) -3)​

Question

Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) – 4/(2sqrt(6) -3)​

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Vodka 4 years 2021-08-16T20:40:10+00:00 1 Answers 7 views 0

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    2021-08-16T20:41:19+00:00

    Step-by-step explanation:

     \tt \longrightarrow \dfrac{8}{2 \sqrt{6}  + 3 }  - \dfrac{4}{2 \sqrt{6}   - 3 }  \\  \\  \tt \longrightarrow \dfrac{8(2 \sqrt{6}  - 3) - 4(2 \sqrt{6}   +  3)}{(2 \sqrt{6}  + 3)(2 \sqrt{6}   - 3 ) }   \\  \\  \tt \longrightarrow \dfrac{16\sqrt{6}  - 24 - 8 \sqrt{6}    - 12}{(2 \sqrt{6} ) {}^{2}   -  (3) {}^{2} } \\  \\ \tt \longrightarrow \dfrac{8\sqrt{6}  - 36}{24   -  9 }  \\  \\   \tt  \green{\longrightarrow \dfrac{8\sqrt{6}  - 36}{15 }}

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