Question

I need answer and specific explanation plz...​

Answer 1

Answer:

The smallest model - bottom right - in the question diagram represents $\sqrt[3]{64}=4$.

Step-by-step explanation:

Considering the radical expression

$\sqrt[3]{64}$

Lets simply this radical expression first

As

$\sqrt[3]{64}$

$\mathrm{Factor\:the\:number:\:}\:64=4^3$

$=\sqrt[3]{4^3}$

$\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a,\:\quad \:a\ge 0$

$\sqrt[3]{4^3}=4$

      $=4$

Therefore, $\sqrt[3]{64}=4$

Now, as we can determine that $\sqrt[3]{64}=4$. So, the smallest model in the question diagram represents $\sqrt[3]{64}=4$ as each face of the cube of the smallest model in the diagram - bottom right - has 4 squares.

Therefore, the smallest model - bottom right - in the question diagram represents $\sqrt[3]{64}=4$.

Keywords: square cube root, radical expression

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