Question

√24+8 √6=

 

5√92-√2300= 

           

             1 

             _

0.5√80 - 6 √180+9 √605=

 

1_  √1200 - 2_√2700-0.4√243=

  2                5

 

(√12-√75)•√3=

 

(7√4+√27)•√3=

            

Побыстрее ребят 

Answer 1

$sqrt{24}+8sqrt{6}=sqrt{4}*sqrt{6}+8sqrt{6}=sqrt{6}(2+8)=10sqrt{6}$

 

$5sqrt{92}-sqrt{2300}=5sqrt{23}*sqrt{4}-sqrt{23}*sqrt{100}=sqrt{23}*(5*2-10)=0$

 

$0,5sqrt{80}-1/6 *sqrt{180}+9sqrt{605}=$$0,5sqrt{2*5*4*2}-1/6 *sqrt{9*4*5}+9sqrt{5*121}=$$0,5*4sqrt{5}-1/6 *6sqrt{5}+9*11sqrt{5}=2sqrt{5}-sqrt{5}+99sqrt{5}=$$100sqrt{5}$

 

$1/2 *sqrt{1200}-2/5 *sqrt{2700}-0,4sqrt{243}=$$1/2 *sqrt{3*4*100}-2/5 *sqrt{3*9*100}-0,4sqrt{3*81}=$$1/2 *20sqrt{3}-2/5 *sqrt{3}-0,4*9sqrt{3}=$$10sqrt{3}-12sqrt{3}-3,6sqrt{3}=-5,6sqrt{3}$

 

$(sqrt{12}-sqrt{75})sqrt{3}=sqrt{12}*sqrt{3}-sqrt{75}*sqrt{3}=$$sqrt{36}-sqrt{225}=6-15=-9$

 

$(7sqrt{4}+sqrt{27})*sqrt{3}=7*2sqrt{3}+sqrt{27}*sqrt{3}=$$14sqrt{3}+9$