Distance Formula, Pythagorean Theorem & Simplifying Radicals

Use the distance formula to find the length between the two given points:
 $\left(3,6\right)$  and  $\left(8,11\right)$  

•  $\sqrt{10}$  

•  $5\sqrt{2}$  

•  $2\sqrt{5}$  

•  $2\sqrt{17}$  

Tags

CCSS.HSG.GPE.B.7

Use the distance formula to find the length between the two given points:

•  $2\sqrt{10}$  

•  $4\sqrt{10}$  

•  $10\sqrt{2}$  

•  $2\sqrt{2}$  

Tags

CCSS.HSG.GPE.B.7

Use the distance formula to find the length between the two given points:
 $\left(-4,-3\right)$  and  $\left(3,4\right)$  

•  $\sqrt{14}$  

•  $\sqrt{2}$  

•  $2\sqrt{7}$  

•  $7\sqrt{2}$  

Tags

CCSS.HSG.GPE.B.7

Use the distance formula to find the length between the two given points:
 $\left(0,8\right)$  and  $\left(6,0\right)$  

•  $2\sqrt{7}$  

•  $\sqrt{10}$  

•  $10$  

•  $2$  

Tags

CCSS.HSG.GPE.B.7

Use the distance formula to find the length between the two given points:
 $\left(1,2\right)$  and  $\left(-4,5\right)$  

•  $\sqrt{34}$  

•  $17$  

•  $2\sqrt{17}$  

•  $4$  

Tags

CCSS.HSG.GPE.B.7

Which pair of radicals would you use to simplify  $\sqrt{60}$  ?

•  $\sqrt{2}$  and $\sqrt{30}$  

•  $\sqrt{3}$  and  $\sqrt{20}$  

•  $\sqrt{4}$  and  $\sqrt{15}$  

•  $\sqrt{6}$  and  $\sqrt{10}$  

Find the length of the missing side using the Pythagorean Theorem.

• $\sqrt{42}$

• $21$

• $9\sqrt{29}$

• $3\sqrt{29}$

Tags

CCSS.8.G.B.8

Find the length of c using the Pythagorean Theorem.

•  $30$ 

•  $10\sqrt{9}$ 

•  $9\sqrt{100}$ 

•  $2\sqrt{21}$ 

Tags

CCSS.8.G.B.7

Simplify the square root completely:  $5\sqrt{18}$  

•  $45$  

•  $15\sqrt{2}$  

•  $8\sqrt{2}$  

•  $10\sqrt{3}$  

Simplify the square root completely:  $\sqrt{96}$  

•  $8\sqrt{6}$  

•  $2\sqrt{24}$  

•  $4\sqrt{6}$  

•  $48$