Respuesta :

JonHenderson55
The answer is:  " 1120 " .
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 Given:  " 3√⋅2√2⋅5√8⋅√18 " ;
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→  3√⋅2√2⋅5√8⋅√18 = 3*2*5*√2*√2*√8*18; 

Consider "√8" ;

→ √8 = √4 * √2 = 2 √2 ;

Consider: "√18" ;

→ √18 = √9 * √2 = 3 √2 ;
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So; →  " 3*2*5*√2*√2*√8*18 "
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Rewrite, substitute:  "2*√2" for "√8" ; 
     and:  substitute:  "3*√2" for  "√18" ;
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     →   " 3*2*5*√2*√2*2*√2*3*√2" 

          =  3*2*5*2*3*√2*√2*√2*√2 ;
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Note:  Since:  "√2*√2 = "2" ;

           →  "√2*√2*√2*√2 = 2 * 2 = 4 ; 
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   So;  3*2*5*2*3*√2*√2*√2*√2 ;

=  3*2*5*2*3*4 ;

3*2 = 6 ;

6* 5 = 30; 

30 * 2 = 60 ;

60 * 3 = 180 ;

180 * 4 = 1120 .
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The answer is:  " 1120 " .
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