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Question
3Radical34y^7a^2

Answer
are you saying

cbrt(34y^7a^2), if so, then

cbrt(34) * cbrt(y^7) * cbrt(a^2)
cbrt(34) * cbrt((y^6) * y) * cbrt(a^2)
cbrt(34) * (y^6)^(1/3) * cbrt(y) * cbrt(a^2)
cbrt(34) * y^2 * cbrt(y) * cbrt(a^2)
(y^2)cbrt(34ya^2)

but if you are saying

3sqrt(34y^7a^2)
3 * sqrt(34) * sqrt(y^7) * sqrt(a^2)
3sqrt(34) * sqrt(y^6 * y) * (a^2)^(1/2)
3sqrt(34) * (y^6)^(1/2) * sqrt(y) * a
3asqrt(34) * y^3 * sqrt(y)
(3y^3a)sqrt(34y)

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