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CBSE Class 9 Answered

rationalise 1/ [(5)1/2  {5 – (24)1/2}1/2]
Asked by haroonrashidgkp | 20 Jun, 2018, 07:59: PM
answered-by-expert Expert Answer
begin mathsize 16px style Rationalise space colon fraction numerator 1 over denominator square root of 5 space square root of space 5 space minus space square root of 24 end root end fraction
fraction numerator begin display style 1 end style over denominator begin display style square root of 5 space square root of space 5 space minus space square root of 24 end root end style end fraction space cross times fraction numerator square root of 5 space square root of space 5 space plus square root of 24 end root over denominator square root of 5 space square root of space 5 space plus space square root of 24 end root end fraction
equals space fraction numerator square root of 5 space square root of space 5 space plus square root of 24 end root over denominator 5 square root of 5 squared space minus space 24 end root end fraction...... square root of straight a space cross times space square root of straight b space equals square root of ab space and space left parenthesis space straight a space minus straight b right parenthesis space left parenthesis space straight a space plus space straight b right parenthesis space equals space straight a space square space minus space straight b space square
equals space fraction numerator square root of 5 space square root of space 5 space plus square root of 24 end root over denominator 5 space square root of 25 space minus space 24 end root end fraction space equals fraction numerator square root of 5 space square root of space 5 space plus square root of 24 end root over denominator 5 space cross times square root of 1 end fraction space equals fraction numerator square root of 5 begin display style square root of space 5 space plus square root of 24 end root end style begin display style space end style over denominator 5 end fraction end style
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