fraction numerator left parenthesis 5 square root of 3 plus square root of 50 right parenthesis left parenthesis 5 minus square root of 24 right parenthesis over denominator square root of 75 minus 5 square root of 2 end fraction

Asked by tg101220 | 1st Jul, 2019, 12:20: PM

Expert Answer:

begin mathsize 16px style fraction numerator open parentheses 5 square root of 3 plus square root of 50 close parentheses open parentheses 5 minus square root of 24 close parentheses over denominator square root of 75 minus 5 square root of 2 end fraction end style
begin mathsize 16px style fraction numerator open parentheses 5 square root of 3 plus square root of 25 cross times 2 end root close parentheses open parentheses 5 minus square root of 4 cross times 6 end root close parentheses over denominator square root of 25 cross times 3 end root minus 5 square root of 2 end fraction end style
=begin mathsize 16px style fraction numerator open parentheses 5 square root of 3 plus 5 square root of 2 close parentheses open parentheses 5 minus 2 square root of 6 close parentheses over denominator 5 square root of 3 minus 5 square root of 2 end fraction end style
begin mathsize 16px style fraction numerator open parentheses square root of 3 plus square root of 2 close parentheses open parentheses 5 minus 2 square root of 6 close parentheses over denominator open parentheses square root of 3 minus square root of 2 close parentheses end fraction end style
begin mathsize 16px style fraction numerator open parentheses square root of 3 plus square root of 2 close parentheses open parentheses 5 minus 2 square root of 6 close parentheses over denominator open parentheses square root of 3 minus square root of 2 close parentheses end fraction cross times fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 plus square root of 2 end fraction end style
=begin mathsize 16px style fraction numerator open parentheses square root of 3 plus square root of 2 close parentheses squared open parentheses 5 minus 2 square root of 6 close parentheses over denominator 3 minus 2 end fraction end style
=begin mathsize 16px style fraction numerator open parentheses 3 plus 2 plus 2 square root of 6 close parentheses open parentheses 5 minus 2 square root of 6 close parentheses over denominator 1 end fraction cross times fraction numerator 5 plus 2 square root of 6 over denominator 5 plus 2 square root of 6 end fraction end style
fraction numerator open parentheses size 16px 5 size 16px plus size 16px 2 square root of size 16px 6 close parentheses open parentheses size 16px 25 size 16px minus size 16px 24 close parentheses over denominator size 16px 5 size 16px plus size 16px 2 square root of size 16px 6 end fraction
= 1

Answered by Sneha shidid | 1st Jul, 2019, 12:48: PM