Nhich sum contradicts this statement? The sum of two irrational numbers is always irrational. A sqrt (7)+5sqrt (7) B sqrt (4)+2sqrt (9) C -2sqrt (6)+sqrt (8) D -4sqrt (6)+4sqrt (6)

The statement "The sum of two irrational numbers is always irrational" is not always true. There are cases where the sum of two irrational numbers can be rational.Let's analyze each option:A. - Both and are irrational numbers. - The sum is , which is still an irrational number. - This option does not contradict the statement.B. - and , both of which are rational numbers. - The sum is , which is a rational number. - This option contradicts the statement.C. - Both and are irrational numbers. - The sum is , which is still an irrational number. - This option does not contradict the statement.D. - Both and are irrational numbers. - The sum is , which is a rational number. - This option contradicts the statement.Therefore, the sums that contradict the statement "The sum of two irrational numbers is always irrational" are options B and D.