Simplify:  left parenthesis square root of 20 space plus square root of 1125 minus square root of 567 right parenthesis left parenthesis square root of 500 plus square root of 245 plus 9 square root of 7 right parenthesis end root

A) 2012

B) 878

C)1445

D) 567

Asked by adalroshan2464 | 14th Nov, 2018, 05:41: PM

Expert Answer:

begin mathsize 16px style open parentheses square root of 20 plus square root of 1125 minus square root of 567 close parentheses open parentheses square root of 500 plus square root of 245 plus 9 square root of 7 close parentheses
equals open parentheses 2 square root of 5 plus 15 square root of 5 minus 9 square root of 7 close parentheses open parentheses 10 square root of 5 plus 7 square root of 5 plus 9 square root of 7 close parentheses
equals 2 square root of 5 cross times 10 square root of 5 plus 2 square root of 5 cross times 7 square root of 5 plus 2 square root of 5 cross times 9 square root of 7 plus 15 square root of 5 cross times 10 square root of 5 plus 15 square root of 5 cross times 7 square root of 5 plus 15 square root of 5 cross times 9 square root of 7
space space space space minus 9 square root of 7 cross times 10 square root of 5 minus 9 square root of 7 cross times 7 square root of 5 minus 9 square root of 7 cross times 9 square root of 7
Solving space this space we space get space 1445 space as space final space answer
end style

Answered by Sneha shidid | 15th Nov, 2018, 11:30: AM