Solving Quadratic Equations by Extracting Square Roots

Between what two numbers does the square root of 28 fall?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

What is the square root of 196?

• + 11

• + 12

• + 13

• + 14

Which of the following square root is NOT a perfect square root ?

• $\sqrt{45}$

• $-\sqrt{400}$

• $\sqrt{0.09}$

• $\sqrt{\frac{9}{49}}$

How many solution does a quadratic equation x² - 9 = 16 have ?

• none

• 1

• 2

• 3

What are the roots / solutions of the quadratic equation 3x² = 300 ?

• x = 10

• x = 9

• x = + 9

• x = + 10

What are the roots / solutions of the quadratic equation equation 2x² + 3 = 101 ?

• x = + 7

• x = + 8

• x = + 9

• x = + 10

What are the values of x does the quadratic equation (x - 2)² = 25 have ?

• x = 5 and x = 2

• x = 7 and x = -3

• x = 5 and x = -2

• x = 3 and x = -7

What are the values of x does the quadratic equation 3(x - 2)² = 27 have?

• x = 7 and x = -1

• x = 1 and x = -7

• x = 5 and x = -1

• x = 1 and x = -5

1What are the roots / solutions of the quadratic equation x² = 32?

• $x\ =\ \pm4\sqrt{2}$

• $x\ =\ \pm16\sqrt{2}$

• $x\ =\pm\ 2\sqrt{8}$

• $x\ =\ \pm4\sqrt{4}$

1What are the roots / solutions of the quadratic equation (x+ 1)² = 50?

•  $x\ =\ -1\pm2\sqrt{25}$ 

•  $x\ =\ 1\pm2\sqrt{25}$ 

•  $x\ =1\pm\ 5\sqrt{2}$ 

•  $x\ =\ -1\pm5\sqrt{2}$