# Squares and Square Roots

# Taking Square Roots Exercises

### Example 1

Solve or determine that the equation has no real number solutions: *y*^{4} = 16.

### Example 2

Solve or determine that the equation has no real number solutions: 7*x*^{2} = 63.

### Example 3

Solve or determine that the equation has no real number solutions: (*x* – 2)^{2} + 16 = 0.

### Example 4

Solve or determine that the equation has no real number solutions: 4(*x* + 1)^{2} = 36.

### Example 5

Solve or determine that the equation has no real number solutions: .

### Example 6

Solve or determine that the equation has no real number solutions: 3*x*^{2} – 7 = 11.

### Example 7

Solve or determine that the equation has no real number solutions: (2*x* + 5)^{2} = 36.

### Example 8

Solve or determine that the equation has no real number solutions: 3*x*^{2} = 4.

### Example 9

Solve or determine that the equation has no real number solutions: *x*^{2} + 6*x* + 9 = 100.

### Example 10

Solve or determine that the equation has no real number solutions: 4*x*^{2} + 12*x* + 9 = 20.