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Why sqrt(2^2*5+2^3)*sqrt(7) is 14?

 Mar 10, 2015

Best Answer 

 #2
avatar+23254 
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To expand upon Anonymous's answer:

√28  =  √4√7  =  2√7 

(√28) · √7  =  (2√7) · √7  =  2 · (√7 · √7)  =  2 · 7  =  14

 Mar 10, 2015
 #1
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It is because of the order of operation. The () on the left is (4*5+8).

sqrt(28)* sqrt(7)=14

 Mar 10, 2015
 #2
avatar+23254 
+5
Best Answer

To expand upon Anonymous's answer:

√28  =  √4√7  =  2√7 

(√28) · √7  =  (2√7) · √7  =  2 · (√7 · √7)  =  2 · 7  =  14

geno3141 Mar 10, 2015

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