Question

(i) Find the value of $(666{)}^2$
(ii) Find the value of $(66666{)}^2$

Answer 1

If there are n number of sixes, its square is given as :(((n-1) fours)3((n-1)fives) 6)
As, the number of 6's in $(666{)}^2$ is three; therefore, using the above pattern, $(666{)}^2$ = ((Two fours)3(Two fives)6)
= 443556

(ii) If there are n number of sixes, its square is given as :(((n-1) fours)3((n-1)fives) 6) As, the number of 6's in $(66666{)}^2$ is five; therefore, using the above pattern, $(66666{)}^2$ = ((four fours)3(four fives)6)
= 4444355556