Question

simplify (3√2-2√3/3√2+2√3 )+(√12/√3-√2)​

Answer 1

Answer:

6(6-√3) IS the correct answer.

Step-by-step explanation:

  [(3√2-2√3)/(3√2+2√3)] + (√12/√3-2)

=   (3√2-2√3)*(3√2-2√3)/(3√2+2√3)*(3√2-2√3)  +  [√12*(√3+2)/(√3-2)*              (√3+2)]

=    (3√2-2√3)²/(3√2²-2√3²)  + (√36+√26)/√3²-√2²

=  [3√2²+2√3²-2*3√2*2√3/18-12]   + (6+2√6)/1

= 18+12-12√6 + 6+2√6

= 36-6√3

= 6(6-√3)

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