For each sum or product, determine whether the result is a rational number or an irrational number.Then choose the appropriate reason for each.Result is Result isReasonRationalIrrational10<- +26OO(Choose one)13The sum of two rationals is always rational.The sum of a rational and an irrational is always irrational.(b) √6OThe sum of two irrationals is sometimes rational, sometimes irrational.The product of two rationals is always rational.The product of a nonzero rational and an irrational is always irrational.The product of two irrationals is sometimes rational, sometimes irrational.(c) 10 xOChoose one13(d)O(Choose one)17▼+3119910XOOO

For each sum or product, determine whether the result is a rational number or an irrational number. Then choose the appropriate reason for each. Result is Result is Rational Irrational Reason 10 (a) +26 O (Choose one) 13 The sum of two rationals is always rational. The sum of a rational and an irrational is always irrational. (b) √√6 +31 O The sum of two irrationals is sometimes rational, sometimes irrational. The product of two rationals is always rational. The product of a nonzero rational and an irrational is always irrational. (c) 10 x 19 The product of two irrationals is sometimes rational, sometimes irrational. Choose onej O 13 9 (d) (Choose one) 17 10 O O O O