Question

Jon was given a radical to simplify. His original problem had nothing already

simplified outside of the square root. His answer was 2xy^3z^4√3xz. What
must have been the original radical that Jon was given?

Answer 1

`√(12x^3y^6z^9)`

Explanation:

`2xy^3z^4√(3xz)=√((2xy^3z^4)^2(3xz))=√((2^2)(3)(x^2)(x)(y^6)(z^8)(z))\\\\=\boxed{√(12x^3y^6z^9)}`

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The applicable rules of exponents are ...

(a^b)^c = a^(bc)

a√b = √(a^2·b)

(a^b)(a^c) = a^(b+c)