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

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

Solve: x² = 256, what is the value of x?

• 15

• 16

• 17

• 18

Solve: x² - 225 = 0

• 14

• 15

• 16

• 17

What appropriate method of solving can we used in the equations that are written in the form x² = c?

• factoring

• quadratic formula

• extracting square roots

• completing the square

• x = 2

• x = 2 or x = -2

• x = 4 or x = -4

• x = 16 or x = -16

Solve for the roots of the given quadratic equation x² = 36 by extracting the root.

• x = 6

• x = - 6

• x = 6, x = - 6

• x = 6, x = 6

Solve for the roots of the given quadratic equation w² - 49 = 0 by extracting the root.

• w = 7

• w = -7

• w = 7, w= -7

• w = 7, w= 7

Solve for the roots of the given (x – 9)² = 64 quadratic equation by extracting the root.

• x = 1, x = 17

• x = 3 , x = 8

• x = -1 , x = 17

• x = -3 , x = 8