Simplifying Radicals - Square Roots Worksheet Template

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Simplifying Radicals - Square Roots
 
Warm Up
 
The   f ollowing   e xpressions   a re   a ll   e quivalent,   e xcept   f or   O NE.     F ind   t he   o ne   t hat   d oes   n ot  
belong   a nd   c ircle!     B e   a ble   t o   d efend   y our   r esponse.     H int   –   t he   f irst   o ne   “ belongs”.  
 
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Breaking Down Square Roots  
When   t aking   s quare   r oots,   s ometimes   t hings   w ork   o ut   n icely   ( ex:    
)   a nd   s ometimes  
81   =   _ _____
they   d o   n ot   ( ex:    
).  
75 =   ______
 
• Numbers   t hat   h ave   a   s quare   r oot   a re   c alled   _ _________________   .  
 
Numbers   t hat   d o   n ot   h ave   a   s quare   r oot   d irectly   a re   c alled   _ _________________.  
 
• Perfect   S quares   t o   a lways   r emember:  
 
• When   y ou   s ee   “ exact”   i n   d irections,   l eave   i n   s implified   r adical   f orm   a nd   d o   N OT   r ound!  
 
1. Check   t o   s ee   i f   i t   i s   a   P S.     I F   s o,   f ind   s quare   r oot.      
2. IF   n ot,   f ind   t he   g reatest   P S   f actor.  
3. Break   i t   u p.  
4. Take   t he   s quare   r oot   o f   o nly   t he   P S,   l eave   t he   l eftover   u nder   t he   s quare   r oot.  
 
 
 
75
98
Find   t he   e xact   v alue   o f
Find   t he   e xact   v alue   o f
.  
 
 
 
.  
 
 
 

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