Math, asked by tarachandbareth86, 7 months ago

6+√3÷6−√3 plz solve this question ​

Answers

Answered by rlrejisha
2

This is ur required answer...

Attachments:
Answered by TheWonderWall
1

Answer:

 \frac{6 +  \sqrt{3} }{6 -  \sqrt{3} }  \\  \\  =  \frac{6 +  \sqrt{3} }{6 -  \sqrt{3} }  \times  \frac{6 +  \sqrt{3} }{6 +  \sqrt{3} }  \\  \\  =  \frac{(6 +  \sqrt{3}) ^{2}  }{(6) ^{2} - ( \sqrt{3} ) ^{2}  }  \\  \\  =  \frac{(6)^{2}  + 2 \times 6 \times  \sqrt{3}  + ( \sqrt{3} ) ^{2} }{36 - 3}  \\  \\  =  \frac{36 + 12 \sqrt{3} + 3 }{33}  \\  \\  =  \frac{39 + 12 \sqrt{3} }{33}  \\  \\  =  \frac{3(13 + 4 \sqrt{3} )}{33}  \\  \\  =  \frac{13 + 4 \sqrt{3} }{11}  \\  \\  \\ formula \: used \:  \\  \\ (a + b) ^{2}   = a^{2} + 2 ab + b ^{2} \\  \\ a ^{2}  - b ^{2}  = (a + b)(a - b)

hope it helps uH

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