[( 3√2 )/{( √6 ) - ( √3 )}] - [ (4√3) / {( √6 ) - ( √2 ) } ] - [6 / { ( √8 ) - ( √12 ) } ] = ?
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= 3√3×4/2√7×4 ÷ 2√21/√98
= 3×2√3/2×2√7 ÷ 2√21/√49×2
= 6√3/4√7 ÷ 2√21/7√2
= 3√3/2√7 ÷ 2√21/7√2
= 3√3/2√7 × 7√2/2√21
= 3√3/2√7 × (√7×√7×√2)/2√21
= (3√3/√2×√2√7) × (√7×√2/2√3)
= 3/2√2
= 3/2×1.414
= 3/2.8284
≈ 1.6065
option a is right
= 3×2√3/2×2√7 ÷ 2√21/√49×2
= 6√3/4√7 ÷ 2√21/7√2
= 3√3/2√7 ÷ 2√21/7√2
= 3√3/2√7 × 7√2/2√21
= 3√3/2√7 × (√7×√7×√2)/2√21
= (3√3/√2×√2√7) × (√7×√2/2√3)
= 3/2√2
= 3/2×1.414
= 3/2.8284
≈ 1.6065
option a is right
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