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Let's analyze and solve the math exercises in the image you uploaded:

### 1. Relaciona los radicales semejantes.
To find the pairs of similar radicals, we look for expressions with the same index and radicand (or can be simplified to the same value).

1. \( 2\sqrt[3]{4\sqrt{2}} \) matches with \( 2\sqrt{5} \) because they are simplified to the same radical form.
   
   **Explanation:** We'll check if they have the same value by simplifying both terms.
  


Relate similar radicals, verify statements about radicals, decompose radicals, and solve for the lengths of inclined planes based on provided radical operations.

Solve exercises on radical simplifications, verifying radical equivalence, decomposing radicals, and applying the Pythagorean theorem to calculate the lengths of inclined planes. These problems engage students in Grades 9-10, helping them practice key algebraic and geometric concepts.

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