The image shows a set of mathematical exercises where the task is to find roots using De Moivre's Theorem. Here's a breakdown of the visible problems that require solving:

1. Hallar las raíces indicadas en cada caso usando el teorema de Moivre:

Find the indicated roots in each case using De Moivre's Theorem.

• a. Las raíces cúbicas de $1$

• b. Las raíces quintas de $1$

• c. Las raíces cuartas de $1 - \sqrt{3}i$

• d. Las dos raíces cuadradas de $1 + i$

• e. Las raíces sextas de $64[\cos 78^\circ + i \sin 78^\circ]$

• f. Los ocho raíces de $2 + 5i$

• g. Las cinco de $-3 + i$

These are complex numbers, and to solve them, De Moivre's Theorem will be used. The theorem expresses a complex number in polar form, allowing the extraction of roots.

Would you like to start solving any specific problem from this list? Let me know which one you need more help with.

Here are some related questions:

1. Do you need a quick reminder on how to apply De Moivre's Theorem?
2. Would you like help converting complex numbers to polar form?
3. Do you want an example of extracting roots using De Moivre's theorem?
4. Would you prefer step-by-step instructions for each type of root?
5. Are there any particular parts of this set of problems you'd like to clarify?

Tip: Always express complex numbers in polar form before applying De Moivre’s theorem—it simplifies root extraction significantly!