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Verified answer
1) (243²)^-1/5= ( ( 3^5)²)^-1/5
= (3^10)^-1/5
= 3-²
= 1/3²
= 1/9 ( B )
2) 3√75 + 4√12 - 5√48
= 3•5√3 + 4•2√3 - 5•4√3
= 15√3 + 8√3 - 20√3
= 3√3 ( C )
3) ( 6 / √7 - 2) × ( √7 + 2 / √7 + 2 )
= 6 ( √7 + 2 )
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( √7 - 2)(√7 + 2 )
= 6 ( √7 + 2 )
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7 - 2√7 + 2√7 - 4
= 6 ( √7 + 2 )
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3
= 2( √7 + 2)
= 2√7 + 4 ( D )