Question

please help me solve. I have for blank 1 na and blank 2 na. this is incorrect.

Answer 1

Radicals and simplification

Our plan is to remove the radical in the denominator of the fraction.

We know that

√3 · √3 = 3

Then, we can multiply both sides of the fraction by √3

$\frac{24}{\sqrt[]{3}}=\frac{24\cdot\sqrt[]{3}}{\sqrt[]{3}\cdot\sqrt[]{3}}=\frac{24\cdot\sqrt[]{3}}{3}$

since

$\frac{24}{3}=8$

then

$\frac{24\cdot\sqrt[]{3}}{3}=8\cdot\sqrt[]{3}$

Now, we have the answer:

Blank 1: 8 / Blank 2: 3