Math, asked by Srashti22, 1 year ago

simplify √7-1/√7+1-√7+1√7-1

Answers

Answered by CutieAlia1
5
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sankalp04: thank u ma'am !!
Answered by ShuchiRecites
16
Hello Mate!

 \frac{ \sqrt{7} - 1 }{ \sqrt{7}  + 1}  \times  \frac{ \sqrt{7}  - 1}{ \sqrt{7}  - 1}  \\  \frac{7 + 1  - 2 \sqrt{7} }{7 - 1}  \\  =  \frac{8 - 2 \sqrt{7} }{6}  =  \frac{4 -  \sqrt{7} }{3}  \\  \frac{ \sqrt{7}  + 1}{ \sqrt{7}  - 1}  \times  \frac{ \sqrt{7} + 1 }{ \sqrt{7}  + 1}  \\  \frac{7 + 1 + 2 \sqrt{7} }{6}  =  \frac{4 +  \sqrt{7} }{3}  \\  \frac{4  -  \sqrt{7} }{3}  -  \frac{4 +  \sqrt{7} }{3}  \\  \frac{4 -  \sqrt{7}  - 4  -  \sqrt{7} }{3}  =  -  \frac{2 \sqrt{7} }{3}

Hope it helps☺!✌
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