Simplify Square Roots

Expressions with Square Roots

Evaluating Expressions with Square Roots
 $-\sqrt{1}$  

Follow PEMDAS and take the square root of 1 then simplify:
 $-\ \cdot\ 1$ 
 $-1$    

Evaluating Expressions with Square Roots
 $\sqrt{25}\ +\ 5$  

Follow PEMDAS and take the square root of 25 then add:
 $5\ +5$  
 $10$  

Evaluating Expressions with Square Roots
 $\sqrt{81}\ -\ 8$  

Follow PEMDAS and take the square root of 81 then subtract:
 $9\ -\ 8$  
 $1$  

Evaluating Expressions with Square Roots
 $3\sqrt{49}$  

Follow PEMDAS and take the square root of 49 then multiply:
 $3\cdot7$ 
 $21$   

Evaluating Expressions with Square Roots
 $-2\sqrt{100}$  

Follow PEMDAS and take the square root of 100 then multiply:
 $-2\cdot10\$  
 $-20$  

Multiple Choice

What is the value of the expression $$-\sqrt{9}$$

• 3

• 81

• -3

• -81

Multiple Choice

What is the value of the expression $$\sqrt{36}+\ 5$$  

• 41

• 11

• 31

• 1

Multiple Choice

What is the value of the expression

$$\sqrt{49}$$  - 8

• -1

• 1

• 41

• 15

Multiple Choice

What is the value of the expression

$$5\sqrt{4}$$  

• 20

• 54

• 10

• $$\frac{5}{2}$$  

Multiple Choice

What is the value of the expression

$$-8\sqrt{16}$$  

• $$-\frac{1}{2}$$  

• -32

• -64

• -128

More Evaluating 
 $\sqrt{\frac{1}{4}}$  

Take the square root of both numbers 
 $\frac{\sqrt{1}}{\sqrt{4}}$      $\frac{1}{2}$   

More Evaluating 
 $-\sqrt{\frac{9}{64}}$  

Take the root of both numbers and simplify
 $-\frac{\sqrt{9}}{\sqrt{64}}$            $-\frac{3}{8}$  

More Evaluating
 $\frac{3}{\sqrt{81}}$  

Take the root of the bottom number
 $\frac{3}{9}$  

More Evaluating 
 $7\sqrt{25}\ +\ \left(-4\right)$  

Follow PEMDAS
 $7\cdot5+\left(-4_{ }\right)$  
 $35\ +\ \left(-4\right)$  
 $31$ 

Multiple Choice

What is the value of the expression

$$\sqrt{\frac{16}{36}}$$  

• $$\frac{4}{7}$$  

• $$\frac{2}{3}$$  

• $$\frac{16}{36}$$  

• $$\frac{8}{18}$$  

Multiple Choice

What is the value of the expression

$$-\frac{\sqrt{25}}{9}$$  

• $$\frac{5}{9}$$  

• $$-\frac{5}{9}$$  

• $$\frac{5}{3}$$  

• $$-\frac{5}{3}$$  

Multiple Choice

What is the value of the expression

$$2\sqrt{64}$$ + (- 3)

• 13

• 19

• 61

• 67