Math, asked by psrao, 1 year ago

11
11 \sqrt{n}  =  \sqrt{112}  +  \sqrt{343}  \: then \: n \: value

Answers

Answered by saurabhsemalti
1

 \sqrt{n}  = ( \sqrt{112}  +  \sqrt{343} ) \div 11 \\ square \: both \: sides \\ n =  {( \sqrt{112} +  \sqrt{343)}   }^{2}   \div 121 \\ n = (112 + 343 + 2 \sqrt{112 \times 343} ) \div 121 \\ n = (455 + 2(196)) \div 121 \\ n = (455 + 392) \div 121 \\ n =8 47 \div 121 \\ n = 7 \\
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