SOLUTION: Simplify each expresion. Rationalize all denominators. Assume that all variables are positive of the equation sqrt(20) – 3sqrt(5) + sqrt(45)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simplify each expresion. Rationalize all denominators. Assume that all variables are positive of the equation sqrt(20) – 3sqrt(5) + sqrt(45)      Log On


   



Question 286045: Simplify each expresion. Rationalize all denominators. Assume that all variables are positive of the equation
sqrt(20) – 3sqrt(5) + sqrt(45)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that all variables are positive of the equation
sqrt(20) – 3sqrt(5) + sqrt(45)
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Rewrite as:
sqrt(4*5) - 3*sqrt(5) + sqrt(9*5)
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= 2sqrt(5) - 3sqrt(5) + 3sqrt(5)
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= (2-3+3)sqrt(5)
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= 2sqrt(5)
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Cheers,
Stan H.
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