C.REMEMBER THAT (A+ B)2 = A2+ 2AB+ B2. FROM STATEMENT (1), WE KNOW...
61. c.Remember that (a+ b)
2
= a2
+ 2ab+ b2
. From statement (1), we know that a2
+ b2
= 13. By cross-multiplying in statement (2), we get 2ab= 12. Since we know the values ofa2
+ b2
and 2ab, and(a+ b)2
= a2
+ 2ab+ b2
, we can now take the square root of the sum to find the value ofa+ b.