- Simplify 3 root 2 by root 6 minus root 3 minus 4 root 3 by root 6 + root 3
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Answer:
answer is 2√3 + √6 - 4√2
Step-by-step explanation:
3√2/(√6-√3) - 4√3/(√6+√3)
= [(3√2)(√6+√3) - (4√3)(√6-√3)]/[(√6+√3)(√6-√3)]
= [3√12 + 3√6 - 4√18 + 12]/[(√6)²-√3)²]
= [3√(2×2×3) + 3√6 - 4√(3×3×2) + 12]/[ 6 - 3]
= [6√3 + 3√6 - 12√2 + 12]/3
= 3[2√3 + √6 - 4√2 + 4]/3
= 2√3 + √6 - 4√2
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