Simplifying Radicals and the Quadratic Formula

√48

• 4√2
• 6√3
• 4√3
• 4√2

Tags

CCSS.HSN.RN.A.2

Simplify the following radical: √32

• 3√2

• 4√8

• 16√2

• 4√2

Tags

CCSS.HSN.RN.A.2

√72

• 7√9
• 4√6
• 6√2
• 3√4

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

√28

• 7√2
• 7√4
• 4√7
• 2√7

Tags

CCSS.HSN.RN.A.2

√45

• 3√5
• 5√3
• 9√5
• 5√9

Tags

CCSS.HSN.RN.A.2

Solve the equation for all real solutions in simplest form.
 $8x^2+11x+7=6x^2$  

•  $-2\pm\sqrt{65}$  

•  $\frac{-2\pm\sqrt{65}}{4}$  

•  $\frac{-11\pm\sqrt{65}}{4}$  

•  $\frac{-11\pm\sqrt{77}}{4}$  

•  $\frac{-11\pm\sqrt{177}}{4}$  

Tags

CCSS.HSA-REI.B.4B

Solve the equation for all real solutions in simplest form.
 $5x^2+19x+11=2x$  

•  $\frac{-17\pm\sqrt{69}}{5}$  

•  $\frac{-17\pm\sqrt{69}}{10}$  

•  $\frac{-17\pm\sqrt{509}}{10}$  

•  $\frac{-11\pm\sqrt{69}}{10}$  

•  $\frac{-11\pm\sqrt{186}}{10}$  

Tags

CCSS.HSA-REI.B.4B

Solve the equation for all real solutions in simplest form.
 $-2x^2+4x+1=-6x^2$  

•  $\left\{-\frac{1}{2}\right\}$  

•  $\frac{-1\pm\sqrt{2}}{2}$  

•  $\left\{\frac{1}{2}\right\}$  

•  $\frac{5\pm\sqrt{27}}{2}$  

•  $\frac{10\pm\sqrt{92}}{-4}$  

Tags

CCSS.HSA-REI.B.4B

Express the simplest radical form.
 $\sqrt{90}$  

•  $10\sqrt{3}$  

•  $9\sqrt{10}$  

•  $3\sqrt{10}$  

•  $2\sqrt{45}$  

•  $5\sqrt{18}$  

Tags

CCSS.HSN.RN.A.2

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