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Question
Need help with this problem.  Solve    ∛(3x+8) + 6 = 1

Need help with this problem.   Divide   √(15xy^3)/√3x

Answer
1. ∛(3x+8) + 6 = 1, subtract 6 from both sides: ∛(3x+8) = -5
.  now cube both sides:  (∛(3x+8))^3 = (-5)^3
.  which gives: 3x+8 = -125, now solve for x
.  subtract 8 from both sides: 3x = -133
.  divide by 3 to get: x= -133/3

2. √(15xy^3)/√3x, I'll assume the "x" in the denominator is also
.  in the square root...yes?  Thus, we get
.  √[(15xy^3)/(3x)] = √(5y^3) = √(5y^2*y)
.  = y√(5y) if y is geater than or equal to zero.

Abe

Algebra

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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