1. The problem is to convert mixed radicals or numbers into entire radical form. 2. The formula to convert a mixed radical $a \sqrt[n]{b}$ into an entire radical is: $$a \sqrt[n]{b} = \sqrt[n]{a^n \times b}$$ This means you raise the outside number $a$ to the power $n$ and multiply it by the radicand $b$ inside the radical. 3. Let's apply this to the first example: $2 \sqrt[3]{6}$. 4. Here, $a=2$, $n=3$, and $b=6$. 5. Calculate $a^n = 2^3 = 8$. 6. Multiply inside the radical: $8 \times 6 = 48$. 7. So, $2 \sqrt[3]{6} = \sqrt[3]{48}$. 8. For the second example $\sqrt{29}$, it is already an entire radical. 9. For $3 \sqrt[3]{25}$, $a=3$, $n=3$, $b=25$. 10. Calculate $3^3 = 27$. 11. Multiply inside: $27 \times 25 = 675$. 12. So, $3 \sqrt[3]{25} = \sqrt[3]{675}$. 13. For $-8$, since it is a whole number, it can be written as $\sqrt[3]{-512}$ because $(-8)^3 = -512$. 14. Summary: - $2 \sqrt[3]{6} = \sqrt[3]{48}$ - $\sqrt{29}$ stays $\sqrt{29}$ - $3 \sqrt[3]{25} = \sqrt[3]{675}$ - $-8 = \sqrt[3]{-512}$ This method applies to all mixed radicals: raise the outside number to the radical's index power and multiply inside the radical.