© 2016 Shmoop University, Inc. All rights reserved.
Squares and Square Roots

Squares and Square Roots

Taking Square Roots Exercises

Example 1

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

y2 = 16

Example 2

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

7x2 = 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:

3x2 – 7 = 11

Example 7

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

(2x + 5)2 = 36

Example 8

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

3x2 = 4

Example 9

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

x2 + 6x + 9 = 100

Example 10

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

4x2 + 12x + 9 = 20