Math, asked by rak8arshiya, 5 hours ago

simplify, rationalize the denomintaor of the following

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Answers

Answered by shrirampawar249
2

Answer:

1) \:  \:  \:  {( \sqrt{7} -  \sqrt{2})   }^{2}  \\  =  { \sqrt{7} }^{2}  +  { \sqrt{2} }^{2}  - 2 \sqrt{7}  \sqrt{2}  \\  = 7 + 2 - 2 \sqrt{14}  \\  = 9 - 2 \sqrt{14}  \\ 2) \:  \:  \:  \: ( \sqrt{2}  + 1)( \sqrt{2}  - 1) \\  =  { \sqrt{2} }^{2}  -  {1}^{2}  \\  = 2 - 1 \\  = 1 \\

rationalise

 \frac{1}{ \sqrt{5} }  =  \frac{1}{ \sqrt{5} }  \times  \frac{ \sqrt{5} }{ \sqrt{5} }  \\  =  \frac{ \sqrt{5} }{ { \sqrt{5} }^{2} }  \\  =  \frac{ \sqrt{5} }{5}

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