Find the value of a and b if root 2 plus root 3 is divided by 3 root 2 minus 2 root 3 is equal to a minus b root 6
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answer .
√2 + √3 /3√2-2√3 = a- b √6
= √2+√3 /3√2- 2√3 × 3√2-2√3/ 3√2+2√3
= (√2+√3) (3√2+2√3 ) / (9×2) -( 4×3)
= (3×2-2√6)+(3√6-2√3)/18-12
= 6 +2√6+3√6+6 /6
= 12+5√6 /6
= 2+5√6 /6
= 2- (-5/6) √6
= a - b √6
hence a = 2 b = -5/6
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