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CBSE Class 9 Answered

5 plus 2 square root of 3 divided by 7 plus 4 square root of 3
Asked by sabattanikharbuki | 05 Mar, 2020, 08:25: PM
answered-by-expert Expert Answer
Rationalising the denominator,
 
begin mathsize 16px style fraction numerator 5 plus 2 square root of 3 over denominator 7 plus 4 square root of 3 end fraction cross times fraction numerator 7 plus 4 square root of 3 over denominator 7 plus 4 square root of 3 end fraction equals space fraction numerator 5 plus 2 square root of 3 over denominator 7 plus 4 square root of 3 end fraction cross times fraction numerator 7 minus 4 square root of 3 over denominator 7 minus 4 square root of 3 end fraction equals fraction numerator open parentheses 5 plus 2 square root of 3 close parentheses open parentheses 7 minus 4 square root of 3 close parentheses over denominator 49 minus 16 left parenthesis 3 right parenthesis end fraction equals open parentheses 5 plus 2 square root of 3 close parentheses open parentheses 7 minus 4 square root of 3 close parentheses equals 35 space minus space 20 square root of 3 space plus space 14 square root of 3 minus 24 equals 11 minus 6 square root of 3 space end style
Answered by Yasmeen Khan | 06 Mar, 2020, 10:28: AM

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