Erika C.
asked • 08/20/20simplify. x((x+5)^-1/2) - sqrt(x+5)
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2 Answers By Expert Tutors
Kathy P. answered • 08/20/20
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Mechanical Engineer with 10+ teaching and tutoring experience
x*[(x+5)^(-1/2)] - sqrt(x+5)
SIMPLIFY:
x / [(x+5)^(1/2)] - sqrt(x+5)
x / sqrt(x+5) - sqrt(x+5)
x / sqrt(x+5) - (x+5) / sqrt(x+5)
(x - x - 5) / sqrt(x+5)
5 / sqrt(x+5)
If you want to rationalize the denominator:
[5*sqrt(x+5)] / (x+5)
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Erika C.
very clear, thank you!08/20/20