Using Square Roots

 $Simplify:\ \ \sqrt{18}$  

• 9

•  $9\sqrt{2}$  

•  $3\sqrt{2}$  

• 4.24

 $Find\ the\ decimal\ approximation\ for\ \sqrt{24}$  

Round answer to the nearest hundredth.

• 576

• 4.89

•  $2\sqrt{6}$  

• 4

Tags

CCSS.8.NS.A.2

 $Solve.$  $x^2\ -\ 20\ =\ 0$   

State your answers as decimal approximations rounded to the nearest hundredth.

•  $x\ =\ 2\sqrt{5},\ -2\sqrt{5}$  

• x = 4.472, -4.472

• x = 4.47, -4.47

• x = 4.5, -4.5

Tags

CCSS.8.EE.A.2

 $Solve:\ \$   $\frac{1}{3}x^2\ =\ 48$  

• x = 12,-12

• x = 4,-4

• x = 2,-2

• x = 3 $\sqrt{48}$  

Tags

CCSS.8.EE.A.2

 $Solve:\ \ x^2\ -\ 10\ =\ -1$  

• no solution

• x = 3,-3

•  $x\ =\ \sqrt{3},\ -\sqrt{3}$  

• x =  $\sqrt{11},\ -\sqrt{11}$  

Tags

CCSS.8.EE.A.2

 $Solve:\ \ -7x^2\ +\ 21\ =\ 14$  

• no solution

•  $x\ =\ \sqrt{5},\ -\sqrt{5}$  

• x = 1, -1

• x = 2.23, -2.23

Tags

CCSS.8.EE.A.2

 $Solve:\ \ 49x^2\ +\ 3\ =\ 7$  

• x =  $\frac{4}{7},\ -\frac{4}{7}$  

• x =  $\frac{2}{49},\ -\frac{2}{49}$  

• no solution

• x =  $\frac{2}{7},\ -\frac{2}{7}$  

Tags

CCSS.8.EE.A.2

 $Solve:\ \ \left(x\ -\ 7\right)^2\ =\ 169$  

• x = 20

• x = -20, 6

• x = 20, -6

• x = 20.-20

Tags

CCSS.HSA-REI.B.4B

 $Solve:\ \ \left(x\ -\ 5\right)^2\ =\ 18;\ \ state\ the\ exact\ answers$  

• x =  $5\ \pm\ 3\sqrt{2}$  

• x =  $\pm\sqrt{13}$  

• x = 9.24, .76

• x =  $5\ \pm9\sqrt{2}$  

Tags

CCSS.8.EE.A.2

Which of the following equations cannot be solved using square roots?

• 4x³ - 7 = 25

• 7x² - 4 = 29

• 4x² = 7

• (4x - 7)² = 25

Tags

CCSS.8.EE.A.2