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Help Me Please.

 

Exercise: Perform the Operation Indicated

 

√1/4 /  4√1/8

 Feb 19, 2018
edited by ManuelBautista2019  Feb 19, 2018
 #1
avatar+956 
0

√(1/4) = 1/2 (or 0.5) If you think about it square root of 1 is 1 and the square root of 4 is 2. 

0.5/4√1/8 = √2/4 

 Feb 19, 2018
 #2
avatar+18049 
+1

sqrt 1/4   /   (1/8)^1/4

 

= 1/2   /   (1/2^3)^1/4

= 1/2   /  1/2^3/4

=2^-1  * 2^3/4

= 2^-(1/4)

1/2^(1/4)

=.841

 Feb 19, 2018
 #3
avatar+4094 
+2

Good job, EP! smiley

tertre  Feb 19, 2018
 #4
avatar+99580 
+2

√1/4 /  4√1/8

 

Manuel....I find these easiest if we convert to exponential form, first...so we have

 

(1/4)^(1/2)  / ( 1/8)^(1/4)   note  that we can write

 

(1 / 2^2)^(1/2)  / (1 / 2^3)^(1/4)

 

( 1 / 2)  / ( 1/ 2^(3/4) )   ...so we have

 

(1/2)^1  *  (1/2)^(-3/4)  =

 

(1/2)^(1/4)   =  4√(1/2)

 

 

cool cool cool

 Feb 19, 2018
 #6
avatar+4094 
+2

Good job, CPhill!smiley

tertre  Feb 19, 2018
 #7
avatar+99580 
0

Thanks, tertre  !!

 

 

cool cool cool

CPhill  Feb 19, 2018
 #5
avatar+1405 
+1

Thank you all!!

 Feb 19, 2018

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