Question 441996: Rationalize the denominator. Assume that all expressions under radicals represent positive numbers: 2 - sqrt(a)/4 + sqrt(a) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Rationalize the denominator. Assume that all expressions under radicals represent positive numbers: (2 - sqrt(a))/(4 + sqrt(a))
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Multiply numerator and denominator by 4-sqrt(a)
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=[(2-sqrt(a))(4-sqrt(a))]/[16-a]
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= [8 - 6 sqrt(a) + a]/[16-a]
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= [(8+a)-6sqrt(a)]/[16-a]
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Cheers,
Stan H.
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