Solving by Factoring and Square Rooting

Simplify the following radical: √24

• 2√6
• 4√6
• 2√12
• 3√8

Tags

CCSS.HSN.RN.A.2

Simplify the following radical: √300

• 3√10
• 2√150
• 100√3
• 10√3

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

Solve by factoring:
 $b^2+8b-33=0$  

•  $\left\{8,-33\right\}$  

•  $\left\{3,-11\right\}$  

•  $\left\{3,11\right\}$  

•  $\left\{-11,-3\right\}$  

Solve by factoring:
 $n^2+3n=0$  

•  $\left\{-3,0\right\}$  

•  $\left\{3,0\right\}$  

• No Real Solution

•  $\left\{-3,-1\right\}$  

Solve by factoring:
 $x^2-100=0$  

•  $\left\{25,4\right\}$  

•  $\left\{-50,2\right\}$  

•  $\left\{-10,10\right\}$  

•  $\left\{0,100\right\}$  

Solve by factoring:
 $n^2-10n+24=0$  

•  $\left\{8,3\right\}$  

•  $\left\{4,6\right\}$  

•  $\left\{-4,-6\right\}$  

•  $\left\{12,2\right\}$  

Solve by factoring:
 $5x^2-12=17x$  

•  $\left\{-3,20\right\}$  

•  $\left\{-\frac{3}{5},\ 4\right\}$  

•  $\left\{-4,\ \frac{3}{5}\right\}$  

•  $\left\{-20,3\right\}$  

Solve by factoring:
 $9x^2-12x+4=0$  

•  $\left\{6\right\}$  

•  $\left\{\frac{2}{3}\right\}$  

•  $\left\{-6,6\right\}$  

•  $\left\{\pm\frac{2}{3}\right\}$  

Solve by factoring:

2x²+ 7x + 6 = 0

• x = 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

Solve by square rooting:

x² = 16

• ± 4

• ± 8

• 4

• 8