Mevan C.
asked • 12/15/16
Simplification of expression
∛((8x^4)/y) how to arrive to (2x ∛(xy^2 ))/y
Philip P.
answered • 12/15/16
Effective and Patient Math Tutor
3√(8x4/y)
Note that 8 = 23 and x4 = x3*x
= 3√(23x3x/y)
= 2x 3√(x/y)
Rationalize the denominator
= 2x 3√(x/y) * 3√(y2/y2)
= 2x 3√(xy2/y3)
= (2x 3√xy2))/y
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Mevan C.
= 2x 3√(xy2/y3)
= (2x 3√xy2))/y
12/15/16