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shusha [124]
2 years ago
14

Combine and simplify the following radical expresión.

Mathematics
2 answers:
NeX [460]2 years ago
5 0

Answer: 12\sqrt[3]{3}

Step-by-step explanation:

It is important to remember that:

1) (\sqrt[n]{a})(\sqrt[n]{b})=\sqrt[n]{ab}

2) \sqrt[n]{a^n} =a^\frac{n}{n} =a

Knowing this, and given the radical expression (2\sqrt[3]{12})(3\sqrt[3]{2}), the procedure is:

Solve the multiplication:

(2*3)\sqrt[3]{12*2} = 6\sqrt[3]{24}

Descompose 24 into its prime factors:

24 = 2*2 *2*3 =2^{3}*3

Rewriting the radicand and simplifying, we get:

6\sqrt[3]{2^3*3} = (6)(2)\sqrt[3]{3}= 12\sqrt[3]{3}

Kobotan [32]2 years ago
4 0

Answer:

12(3√6)

Step-by-step explanation:

6(3√12)(3√2)

= 6(3√4√3)(3√2)

= 12(3√3)(3√2)

= 12(3√6)

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