Final answer:
The student's question involves solving expressions with square roots and cube roots. The question is incomplete, but the concepts of finding square roots, such as √x² = x, and the application of the Pythagorean theorem, which involves square roots, were explained.
Step-by-step explanation:
The question posed is asking to solve a numerical expression involving square roots and cube roots. The expression is not complete in the question provided, but we can review concepts related to the operations involved. To clarify, solving square roots and cube roots can be thought of in terms of simplifying expressions or finding solutions to equations involving these operations.
For instance, the square of a number, such as x, is written as x². To find the square root of x², we are looking for a number which, when multiplied by itself, gives x², which is simply x. In mathematical notation, the square root of x² is denoted as √x² = x. This relationship applies regardless of the particular value of x.
Similarly, the Pythagorean theorem is often associated with finding the length of the hypotenuse of a right triangle, which involves taking the square root of the sum of the squares of the other two sides. For example, if the two sides of a right triangle measure 9 units and 5 units, the length of the hypotenuse would be √(9² + 5²) = √(81 + 25) = √106 = 10.3 units (considering significant figures).