Question

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

Answer 1

Explanation:

`\tt \longrightarrow (8)/(2 √(6) + 3 ) - (4)/(2 √(6) - 3 ) \\ \\ \tt \longrightarrow (8(2 √(6) - 3) - 4(2 √(6) + 3))/((2 √(6) + 3)(2 √(6) - 3 ) ) \\ \\ \tt \longrightarrow \frac{16√(6) - 24 - 8 √(6) - 12}{(2 √(6) ) {}^(2) - (3) {}^(2) } \\ \\ \tt \longrightarrow (8√(6) - 36)/(24 - 9 ) \\ \\ \tt \green{\longrightarrow (8√(6) - 36)/(15 )}`