Simplifying Radicals
Rationalize the Denominator
Solve by Square Root
Quadratic Formula
Solve by Graphing/Factoring
100

Simplify √49

7

100

What is the purpose of rationalizing the denominator?

To remove the square root in the denominator

100

When would you choose to solve by square root method?

When there is no "bx" term.

100

When would you choose to solve by quadratic formula?

Last resort

100

When should you solve by factoring?

If it's easily factorable or a simple graph.

200

Simplify √45

3√5

200

Simplify (√3)/(√5) 

(√15)/(5)

200

Solve  x^2=36 

x=-6,6

200

Identify the a, b, and c values of: 0=7x^2+4x-5  

a=7

b=4

c=-5

200

Solve  (2 - x)(3x +4) = 0

x= -4/3, 2

300

Simplify √75

5√3

300

Simplify (2)/(√3)

(2√3)/(3)

300

Solve x^2-81=0 

x=-9,9

300

Identify the a, b, and c values of:  4x^2=4x-1 

a=4

b=-4

c=1

300

Solve  7x(3x + 2) = 0

x = -2/3, 0

400

Simplify 2√12x3

4x√3x

400

Simplify (√4)/(√25)

(2)/(5)

400

Solve 3x^2+7=55 

x=-4,4

400

Solve  9x^2=-12x-4 

x=-2/3

400

Solve a^2+11a=-18 

x=-9,-2

500

Simplify -3√16x5

-12x2√x

500

Simplify (√6)/(√8)

(√3)/(2)

500

Solve (x+5)^2-3=46 

x=-2,12

500

Solve   2x^2+6x=-1 

x=(-3+sqrt7)/2,(-3-sqrt7)/2

500

Solve 6n^2−18n−18=6 

x=-1,4

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