answer to both questions

 

Asked by Chetna.lagoon | 4th Aug, 2019, 08:11: AM

Expert Answer:

begin mathsize 16px style square root of 17 space minus space square root of 12 space cross times fraction numerator square root of 17 space plus space square root of 12 over denominator square root of 17 space plus space square root of 12 end fraction space equals space fraction numerator 17 space minus space 12 over denominator square root of 17 space plus space square root of 12 end fraction space equals space fraction numerator 5 space space space over denominator square root of 17 space plus space square root of 12 end fraction space space space space space space space... space left parenthesis 1 right parenthesis
square root of 11 space minus space square root of 6 space cross times fraction numerator square root of 11 space plus space square root of 6 over denominator square root of 11 space plus space square root of 6 end fraction space equals space fraction numerator 11 minus space 6 over denominator square root of 11 space plus space square root of 6 end fraction space equals space fraction numerator 5 space space space over denominator square root of 11 space plus space square root of 6 end fraction space space space space space space space... space left parenthesis 2 right parenthesis
From space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis space comma
The space numerator space of space both space the space numbers space is space same. space left parenthesis straight i. space straight e. space 5 right parenthesis space and space from space both space the space denominators space square root of 17 space plus space square root of 12 space greater than space square root of 11 space plus space square root of 6
rightwards double arrow fraction numerator 5 space space space over denominator square root of 17 space plus space square root of 12 end fraction space less than space fraction numerator 5 space space space over denominator square root of 11 space plus space square root of 6 end fraction
rightwards double arrow square root of 17 space minus space square root of 12 space less than space square root of 11 space minus space square root of 6
rightwards double arrow square root of 11 space minus space square root of 6 space is space straight a space greater space number. end style

Answered by Yasmeen Khan | 4th Aug, 2019, 01:16: PM