Question

3/4 3√128. simplify?kindly​

Answer 1

Answer:

3 ∛2

Step-by-step 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

Step-by-step explanation:

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

$\dfrac{3}{4}\sqrt[3]{128} \\\\\\=\dfrac{3}{4}\sqrt[3]{4\cdot 4\cdot 4\cdot 2} \\\\\\=\dfrac{3}{4}\cdot 4\sqrt[3]{2} \\\\\\=\large\boxed{3\sqrt[3]{2} }$