Math, asked by AnneOnymous, 1 year ago

simplify:(√3-✓5)² and (64/125)-⅔


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Answers

Answered by BhawnaAggarwalBT
4

( { \sqrt{3}  -  \sqrt{5}) }^{2}  =  \: (a - b {)}^{2}  \\  (a - b {)}^{2}  =  {a}^{2}  +  {b}^{2}   -  2ab \\   {( \sqrt{3}  -  \sqrt{5} )}^{2}  =  \:  { (\sqrt{3} )}^{2}  + ( { \sqrt{5} )}^{2}  - 2 \times  \sqrt{3}  \times  \sqrt{5}
 = 3 + 5  - 2 \sqrt{15}

2) \:  \:  \:  {(64 \div 125)}^{ - 2 \div 3}
 =  {( {4}^{3}  \div  {5}^{3}) }^{ - 2 \div 3}
(4 \div 5 {)}^{(3 \times  - 2 \div 3)}
(4 \div 5 {)}^{ - 2}  =( 5 \div 4 {)}^{2}  \\  = 25 \div 16
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