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ICSE Class 10 Answered

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Asked by siddharthjaiswal1122 | 11 Oct, 2018, 07:42: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 1 over denominator 2 space plus space square root of 7 end fraction plus space fraction numerator 1 over denominator square root of 7 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 10 end style end fraction space plus space..... space plus fraction numerator 1 over denominator square root of 28 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 31 end style end fraction
equals space space fraction numerator begin display style 1 end style over denominator begin display style square root of 4 space plus space square root of 7 end style end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style square root of 7 space plus space square root of 10 end style end fraction space plus space fraction numerator begin display style 1 end style over denominator begin display style square root of 10 space plus space square root of 13 end style end fraction plus..... space plus fraction numerator 1 over denominator square root of 28 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 31 end style end fraction
equals space open parentheses fraction numerator begin display style 1 end style over denominator begin display style square root of 4 space plus space square root of 7 end style end fraction cross times fraction numerator begin display style square root of 4 space minus space square root of 7 end style over denominator begin display style square root of 4 space minus space square root of 7 end style end fraction close parentheses space plus space open parentheses fraction numerator begin display style 1 end style over denominator begin display style square root of 7 space plus space square root of 10 end style end fraction cross times fraction numerator begin display style square root of 7 space minus space square root of 10 end style over denominator begin display style square root of 7 space minus space square root of 10 end style end fraction close parentheses space plus space open parentheses fraction numerator begin display style 1 end style over denominator begin display style square root of 10 space plus space square root of 13 end style end fraction cross times fraction numerator begin display style square root of 10 space minus space square root of 13 end style over denominator begin display style square root of 10 space minus space square root of 13 end style end fraction close parentheses plus..... space plus open parentheses fraction numerator begin display style 1 end style over denominator begin display style square root of 28 space plus space square root of 31 end style end fraction cross times fraction numerator begin display style square root of 28 space minus space square root of 31 end style over denominator begin display style square root of 28 minus space square root of 31 end style end fraction close parentheses
equals space fraction numerator square root of 4 begin display style space end style begin display style space end style begin display style minus end style begin display style space end style begin display style space end style begin display style square root of 31 end style over denominator negative 3 end fraction
equals fraction numerator begin display style square root of 31 space space minus space 2 end style over denominator 3 end fraction
Ans colon space 4 end style
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