Ques no. 19 find values of a and b

Asked by sunilkohlespeak | 2nd Oct, 2019, 04:30: PM

Expert Answer:

begin mathsize 16px style straight L. straight H. straight S equals space fraction numerator 1 over denominator open parentheses 2 plus square root of 22 close parentheses space plus space open parentheses square root of 26 close parentheses end fraction cross times fraction numerator open parentheses 2 plus square root of 22 close parentheses space minus space open parentheses square root of 26 close parentheses over denominator open parentheses 2 plus square root of 22 close parentheses space minus space open parentheses square root of 26 close parentheses end fraction
space space space space space space space space space space equals space space space space space space space fraction numerator 2 plus square root of 22 space minus space square root of 26 over denominator open parentheses 2 plus square root of 22 close parentheses squared space minus space open parentheses square root of 26 close parentheses squared end fraction space space space space
space space space space space space space space space space space equals space fraction numerator square root of 22 space plus space square root of 4 space minus space square root of 26 over denominator 4 space plus space 22 space plus space 4 square root of 22 minus space 26 end fraction
space space space space space space space space space space space equals space fraction numerator square root of 22 space plus space square root of 4 space minus space square root of 22 space plus space 4 end root over denominator space 4 square root of 22 end fraction
space space space space space space space space space space space equals fraction numerator square root of 2 open parentheses square root of 11 space plus space square root of 2 space minus space square root of 11 space plus space 2 end root close parentheses over denominator space 4 square root of 2 square root of 11 end fraction
space space space space space space space space space space space equals space fraction numerator square root of 11 space plus space square root of 2 space minus space square root of 11 space plus space 2 end root over denominator square root of 11 cross times 2 squared end fraction
Comparing space with space straight R. straight H. straight S comma space we space get
straight a equals space 11 space and space straight b space equals space 2 end style

Answered by Yasmeen Khan | 3rd Oct, 2019, 11:37: AM