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CBSE Class 9 Answered

Rationalize 1/ [(5)1/2 – {5 + (24)1/2}1/2
Asked by haroonrashidgkp | 21 Jun, 2018, 07:12: PM
answered-by-expert Expert Answer
begin mathsize 16px style fraction numerator 1 over denominator square root of 5 space minus space square root of 5 space plus space square root of 24 end root end fraction equals space fraction numerator begin display style 1 end style over denominator begin display style square root of 5 space minus space square root of 5 space plus space square root of 24 end root end style end fraction space cross times space fraction numerator square root of 5 begin display style space end style begin display style plus end style space square root of 5 space plus space square root of 24 end root over denominator square root of 5 space plus space square root of 5 space plus space square root of 24 end root end fraction equals space fraction numerator square root of 5 space plus space square root of 5 space plus space square root of 24 end root over denominator 5 space minus left parenthesis 5 space plus space square root of 24 space right parenthesis end fraction space.............. space since space left parenthesis space straight a space minus space straight b right parenthesis space left parenthesis space straight a space plus space straight b space right parenthesis space equals space straight a squared space minus space straight b squared equals space fraction numerator begin display style square root of 5 space plus space square root of 5 space plus space square root of 24 end root end style over denominator begin display style 5 space minus 5 space minus space square root of 24 space end style end fraction equals space fraction numerator begin display style square root of 5 space plus space square root of 5 space plus space square root of 24 end root end style over denominator begin display style negative space square root of 24 space end style end fraction space cross times fraction numerator square root of 24 over denominator square root of 24 end fraction equals space fraction numerator begin display style square root of 24 left parenthesis square root of 5 space plus space square root of 5 space plus space square root of 24 end root right parenthesis end style over denominator begin display style negative space 24 space end style end fraction space end style
Answered by Yasmeen Khan | 21 Jun, 2018, 07:28: PM

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