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(sqrt of 2  +  sqrt of 3)2

 Apr 2, 2017

Best Answer 

 #2
avatar+128053 
+2

( sqrt (2)   + sqrt (3) ) ^2  =

 

( sqrt (2) + sqrt (3) ) * ( sqrt (2)  + sqrt (3) )  =

 

( 2 + 2sqrt(2)sqrt(3)  + 3 )  =

 

5 + 2sqrt(6)

 

 

cool  cool  cool

 Apr 2, 2017
 #1
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To square root something, in a way is to find the one number when multiplied by it self is equal to your starting number, for example the square root of 64 would be 8 since 8x8 is 64.

 

So if you are squaring the square root, the equation "simplified" would end up being 2+3. 

 

(sqrt of 2  +  sqrt of 3)2

 

the ^2 negates the square roots of 2 and three leaving you with 2+3 in the brackets.

 

So your answer would be 5

 Apr 2, 2017
 #2
avatar+128053 
+2
Best Answer

( sqrt (2)   + sqrt (3) ) ^2  =

 

( sqrt (2) + sqrt (3) ) * ( sqrt (2)  + sqrt (3) )  =

 

( 2 + 2sqrt(2)sqrt(3)  + 3 )  =

 

5 + 2sqrt(6)

 

 

cool  cool  cool

CPhill Apr 2, 2017

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