Question

Question was provided via image upload.

Explanation:

Each blank is filled by matching the provided terms to the context of square roots, quadratic equations, and related number concepts.

1. The inverse operation of squaring a number is taking its root.
2. Numbers like 4,9,16,25 are perfect squares since their square roots are whole numbers.
3. If a square root is a decimal, it is a non-perfect square.
4. Roots are the solutions of a quadratic equation, and there are two possible outcomes when solving them.

Answer:

1. The inverse of squaring a number is taking its square root.
2. Numbers such as 4, 9, 16 and 25 are called perfect squares because their square root is a whole number. If the square root is a decimal it is a non-perfect square.
3. Roots are known as the solutions of a quadratic equation. There are two possible outcomes when solving these equations.

(Note: The provided term set includes "three" which is incorrect; the standard number of solutions for a quadratic equation is two, which fits the context. The correct matching uses the appropriate terms from the given list where possible, with "solutions" implied as the root of a quadratic, and "two" as the standard count.)