Math, asked by helingeswara9b, 7 months ago

(2) Rationalize the denominator.




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7+4√3

Answers

Answered by Anonymous
1

Answer:

 \frac{4}{7 + 4 \sqrt{3} }  \\  \frac{4}{7 + 4 \sqrt{3} }  \times  \frac{7 - 4 \sqrt{3} }{7  - 4 \sqrt{3} } \\ \:  \:  \:  \:  \:  \:  \:  \:  now \:  \: using \:  \: this \:  \: identity \\   {x}^{2}  -  {y}^{2}  = (x + y)(x - y) \\  =  \frac{4(7 - 4 \sqrt{3} }{(7 {)}^{2} - (4 \sqrt{3}  {)}^{2}  }   \\  =  \frac{28 - 16 \sqrt{3} }{49 - 48}  \\  =  \frac{28 - 16 \sqrt{3} }{1}  \\  = 28 - 16  \sqrt{3}

I hope it will help you

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