[tex]{\overline{ \underline{ \huge {\boxed{\bold{ANSWER:}}}}}}[/tex]
[tex]12yz \sqrt{xz} [/tex] is the answer
[tex] \huge \pink{SOLUTION}[/tex]
Write the number in Exponintial Form with a base of 12.
- [tex] \sqrt{12 {}^{2} xy {}^{2} z {}^{3} } [/tex]
Expand the expression.
- [tex] \sqrt{12 {}^{2} xy {}^{2} z {}^{2 + 1} } [/tex]
- [tex] \sqrt{12 {}^{2}xy ^{2} z {}^{2} \times \: z {}^{1} } [/tex]
Any expression raise to the power of 1 equals itself.
- [tex] \sqrt{12 {}^{2} xy {}^{2}z {}^{2} \times \: z {}^{1} } [/tex]
- [tex] \sqrt{12 {}^{2}xy {}^{2}z {}^{2} \times \: z} [/tex]
The root of the product is equal to the product of the roots of each factor
- [tex] \sqrt{ {12}^{2} } \sqrt{ {y}^{2} } \sqrt{ {z}^{2} } \sqrt{ \times \: z} [/tex]
Simplify the roots
Reduce the index of the radical and exponent with 2,. then that result will be
- [tex]12yz \sqrt{xz} [/tex]
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