Radical Equations and Perfect Squares

Solve by using the best method (factoring, completing the square, or taking square roots):

3x²+12=39

• x = √27

• x = ±3√27

• x = ±3

• x = ±9

Solve by taking square roots:
5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no solution

What value of n would guarantee that the answer to the given equation was a pair of radicals (not integer)?

• 0

• 24

• 32

• -16

Complete the square: x²-20x+22

• (x-10)²-78

• (x+10)²-87

• (x+10)²-125

• (x-10)²+55

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x

• the 9

• the x²

• none of these

Simplify the following radical: √24

• 2√6

• 4√6

• 2√12

• 3√8

All the following are Perfect Squares except for which one?

• 81

• 121

• 361

• 198

√1

• 1

• 2

• 10

• 100

Between which two whole numbers is the
√5?

• 1 and 2

• 2 and 3

• 3 and 4

• 4 and 5