Simplifying Radicals
Solving by taking square roots
Solving by factoring
100

Simplify: squareroot 27

3 sqr 3

100

Solve by taking the square root: x2 = 100


x = 10, -10

100

Solve this quadratics by factoring.

x2 + 2x - 3 = 0 

x2 + 2x - 3 = 0

     = (x-1)(x+3) = 0


     x = 1 or x = -3


200

Simplify: sqr80

4 sqr5

200

Solve this equation by taking square roots.

x2 + 1 = 26

x2 = 25


x= 5, -5

200

Solve this quadratic by factoring:

6x2 - 15x = 0

x = 0, x=5/3

300

Simplify: sqr 175

5 sqr7

300

Solve for x using the square root method.

2x^2+10=210

x = 10, -10

300

Solve this quadratic equation by factoring.

X2 + 16 = 10x

x2 - 10x + 16 =0

       (x-2)(x-8)

               x = 2 or x = 8

400

Simplify: sqr245

7 sqr5

400

Solve this equation by taking square roots.

(x-4)2 - 16 = 0

(x-4)2 = 16

x- 4 =±  4 

x = 0 or 8

400

Solve this quadratic by factoring:

2x-11x = 21

x = -3/2, 7

500

Simplify: sqr384

8 sqr6

500

2(x + 1)2 = 18

x = 2, -4

500

Solve this quadratic by factoring:

3x2 + 5 = -8x

x = -5/3, -1