Q) The value of square root of 9 plus 6 square root of 2 end root space plus space square root of 9 minus 6 square root of 2 end root is
A) 3 
B) 6
C) 2 square root of 3
D) 2 square root of 6

Asked by banerjee_milky | 23rd Jun, 2017, 02:29: PM

Expert Answer:

begin mathsize 16px style Correct space option colon space straight C
square root of 9 plus 6 square root of 2 end root space plus space square root of 9 minus 6 square root of 2 end root
equals square root of 3 plus 6 plus 6 square root of 2 end root space plus space square root of 3 plus 6 minus 6 square root of 2 end root
equals square root of open parentheses square root of 3 close parentheses squared plus open parentheses square root of 6 close parentheses squared plus 6 square root of 2 end root space plus space square root of open parentheses square root of 3 close parentheses squared plus open parentheses square root of 6 close parentheses squared minus 6 square root of 2 end root
equals square root of open parentheses square root of 3 plus square root of 6 close parentheses squared end root plus square root of open parentheses square root of 3 minus square root of 6 close parentheses squared end root
equals square root of 3 plus square root of 6 plus square root of 3 minus square root of 6
equals 2 square root of 3
end style

Answered by Sneha shidid | 23rd Jun, 2017, 03:14: PM