SOLUTION: Please help me solve this problem! radical 2 + radical 6 divided by radical 8 + radical 6
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Algebra: Radicals -- complicated equations involving roots
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Question 467337
:
Please help me solve this problem!
radical 2 + radical 6 divided by radical 8 + radical 6
Answer by
stanbon(75887)
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radical 2 + radical 6 divided by radical 8 + radical 6
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[sqrt(2)+sqrt(6)]/[sqrt(8)+sqrt(6)]
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Multiply numerator and denominator by sqrt(8)-sqrt(6)]
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= [sqrt(2)+sqrt(6)] / (8-6)
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= [sqrt(16)-sqrt(12)+sqrt(48)+sqrt(36)]/2
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= [4 + 6 - 2sqrt(3) + 4sqrt(3)]/2
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= [10+2sqrt(3)]/2
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= [5 + sqrt(3]
===================
Cheers,
Stan H.