## Example Questions

### Example Question #1 : How To Find The Square Of A Sum

Evaluate the following expression:       Explanation:

2 raised to the power of 5 is the same as multiplying 2 by itself 5 times so:

25 = 2x2x2x2x2 = 32

Then, 5x2 must first be multiplied before taking the exponent, yielding 102 = 100.

100 + 32 = 132

### Example Question #5 : Squaring / Square Roots / Radicals

Expand:      Explanation:

To multiply a difference squared, square the first term and add two times the multiplication of the two terms. Then add the second term squared. ### Example Question #1 : How To Find The Square Of A Sum

Which of the following is the square of ?      Explanation:

Use the square of a sum pattern, substituting for and for in the pattern:   ### Example Question #7 : Squaring / Square Roots / Radicals

Which of the following is the square of ?

You may assume both and are positive.      Explanation:

Use the square of a sum pattern, substituting for and for in the pattern:   or ### Example Question #8 : Squaring / Square Roots / Radicals

Which of the following is the square of ?      Explanation:

Multiply vertically as follows:     ### Example Question #9 : Squaring / Square Roots / Radicals

Which of the following is the square of ?   The correct answer is not given among the other responses. The correct answer is not given among the other responses.

Explanation:

Use the square of a sum pattern, substituting for and for in the pattern:   This is not equivalent to any of the given choices.

### Example Question #1 : How To Find The Square Of A Sum

Which of the following is the square of ?      Explanation:

Use the square of a sum pattern, substituting for and for in the pattern:   ### Example Question #1 : How To Find The Square Of A Sum

Which of the following is the square of ?      Explanation:

Use the square of a sum pattern, substituting for and for in the pattern:   ### All ACT Math Resources 