I f space square root of 2 space equals space 1.4142 space comma space f i n d space t h e space v a l u e space o f space square root of bevelled fraction numerator square root of 2 minus 1 over denominator square root of 2 plus 1 end fraction end root.

Asked by kishor.kp14 | 20th Jun, 2019, 10:13: AM

Expert Answer:

begin mathsize 16px style square root of fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space plus space 1 end fraction end root
equals space square root of fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space plus space 1 end fraction cross times space fraction numerator square root of 2 space minus space 1 over denominator square root of 2 space minus space 1 end fraction end root
equals space square root of fraction numerator open parentheses square root of 2 space minus space 1 close parentheses squared over denominator 2 space minus space 1 end fraction end root space space space space space space space space space space space space space space space... space since space straight a squared space minus space straight b squared space equals space open parentheses straight a space minus space straight b close parentheses open parentheses straight a space plus space straight b close parentheses
equals space square root of fraction numerator 2 space plus space 1 space minus space 2 square root of 2 over denominator 1 end fraction end root space space space space space space space space space space... space since space open parentheses straight a space minus space straight b close parentheses squared equals space straight a squared space plus space straight b squared space minus space 2 ab
equals square root of 3 space minus 2 square root of 2 space end root space
equals space square root of 3 space minus space 2 left parenthesis 1.4142 right parenthesis end root space space space space space space space space space space space space space space space... space since space square root of 2 space equals space 1.4142
equals square root of 3 space minus space 2.8284 end root
equals square root of 0.1716 end root
end style

Answered by Yasmeen Khan | 20th Jun, 2019, 10:59: AM