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Simplify the expression . Show your work.

AngelRay  Jan 17, 2018

Best Answer 

 #1
avatar+17711 
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Simplify:  sqrt( 4x2 / 3y )

 

                sqrt( 4x2 / 3y )  =  sqrt( 4x2 ) / sqrt( 3y )

 

But  sqrt( 4x2 )  =  2·| x |                                  Technically, you need to use absolute value bars.

 

               sqrt( 4x2 / 3y )  =  2·| x |  / sqrt( 3y )

 

Now, multiply both the numerator and the denominator by sqrt( 3y )

 

              sqrt( 4x2 / 3y )  =  [ 2·| x | · sqrt( 3y) ] / [ sqrt( 3y ) · sqrt( 3y) ]

 

Since  [ sqrt( 3y ) · sqrt( 3y) ]  =  3y

 

               sqrt( 4x2 / 3y )   =  [ 2·| x | · sqrt( 3y) ] / ( 3y )

geno3141  Jan 17, 2018
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1+0 Answers

 #1
avatar+17711 
+1
Best Answer

Simplify:  sqrt( 4x2 / 3y )

 

                sqrt( 4x2 / 3y )  =  sqrt( 4x2 ) / sqrt( 3y )

 

But  sqrt( 4x2 )  =  2·| x |                                  Technically, you need to use absolute value bars.

 

               sqrt( 4x2 / 3y )  =  2·| x |  / sqrt( 3y )

 

Now, multiply both the numerator and the denominator by sqrt( 3y )

 

              sqrt( 4x2 / 3y )  =  [ 2·| x | · sqrt( 3y) ] / [ sqrt( 3y ) · sqrt( 3y) ]

 

Since  [ sqrt( 3y ) · sqrt( 3y) ]  =  3y

 

               sqrt( 4x2 / 3y )   =  [ 2·| x | · sqrt( 3y) ] / ( 3y )

geno3141  Jan 17, 2018

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