Question

3/4 3√128. simplify?
kindly
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Answer 1

3 ∛2

Explanation:

3/4 ∛128

=> 3/4 ∛(2)^7 .

=> 3/4 ∛(2)^3 . (2)^3 x2

=> 3/4 . 2.2 ∛2

=>3 ∛2

Answer 2

Answer: 3∛2

Explanation:

First, factor 128 .... you need three common factors to bring one on the outside of the radical.

`(3)/(4)\sqrt[3]{128} \\\\\\=(3)/(4)\sqrt[3]{4\cdot 4\cdot 4\cdot 2} \\\\\\=(3)/(4)\cdot 4\sqrt[3]{2} \\\\\\=\large\boxed{3\sqrt[3]{2} }`