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
[tex]\frac{24}{\sqrt[]{3}}=\frac{24\cdot\sqrt[]{3}}{\sqrt[]{3}\cdot\sqrt[]{3}}=\frac{24\cdot\sqrt[]{3}}{3}[/tex]
since
[tex]\frac{24}{3}=8[/tex]
then
[tex]\frac{24\cdot\sqrt[]{3}}{3}=8\cdot\sqrt[]{3}[/tex]
Now, we have the answer:
Blank 1: 8 / Blank 2: 3
