Math, asked by ads45, 5 hours ago

pls solve this ques plss no irrevelent ans as I'm a moderator in my another account

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Answered by jyotirmoymallick
0

Answer:

the correct answer is 5.

Answered by akeertana503
1

\huge\mathcal{\fcolorbox{cyan}{black}{\pink{answer}}}

 \frac{ \sqrt{7}  -  \sqrt{3} }{ \sqrt{7}  +  \sqrt{3} }  +  \frac{ \sqrt{7}  +  \sqrt{3} }{ \sqrt{7}  -  \sqrt{3} }  \\  \\  = \frac{ \sqrt{7}  -  \sqrt{3} }{ \sqrt{7}  +  \sqrt{3} }  \times  \frac{ \sqrt{7}  +  \sqrt{3} }{ \sqrt{7}  +  \sqrt{3} }  \\  \\  =  \frac{( \sqrt{7) {}^{2} } + ( \sqrt{3)}  {}^{2}  - 2 \sqrt{21}  }{4}  \\  \\  =  \frac{10 - 2 \sqrt{21} }{4}  \\  \\  =  \frac{5 - 2 \sqrt{21}  }{2}  \\  \\  \frac{5 - 2 \sqrt{21} }{2}  +  \frac{5 + 2 \sqrt{21} }{2}  \\  \\  =  \frac{5 - 2 \sqrt{21}  + 5 + 2 \sqrt{21} }{2}  \\  \\  =  \frac{5 + 5}{2}  \:  \\  \\  \frac{10}{2}  \\  \\  = 5 \:   \:  \: answer

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